ࡱ> mq` bjbjqPqP .&::2f`A`A`A`ABTC6I6I6I6I6I6I6I/R1R1R1R1R1R1R$VhXTURe{K6I6I{K{KUR6I6ISQQQ{K6I6I/RQ{K/RQQQ6IC Чl<`AKLhQ/RS0TQ@YQ@YQQ@YQ06IhIJQI<$JW6I6I6IURURQ"6I6I6IT{K{K{K{Kd=ADA PS-6 376. Charlie wants to know the area of his property, which measures 120 ft by 150 ft. Which formula will he use? a. A = s2 b. A =  EMBED Equation.DSMT4 r2 c. A = bh d. A = lw 377. Dawn wants to compare the volume of a basketball with the volume of a tennis ball. Which formula will she use? a. V =  EMBED Equation.DSMT4 r 2h b. V =4/3  EMBED Equation.DSMT4 r3 c. V = 1/3  EMBED Equation.DSMT4 r 2h d. V = s3 378. Rick is ordering a new triangular sail for his boat. He needs to know the area of the sail. Which formula will he use? a. A = lw b. A = bh c. A = bh d. A = _h(b1 + b2) 379. Keith wants to know the surface area of a basketball. Which formula will he use? a. s = 6s2 b. s = 4  EMBED Equation.DSMT4 r2 c. s = 2  EMBED Equation.DSMT4 r2 + 2  EMBED Equation.DSMT4 rh d. s =  EMBED Equation.DSMT4 r2 + 2  EMBED Equation.DSMT4 rh 380. Aaron is installing a ceiling fan in his bedroom. Once the fan is in motion, he needs to know the area the fan will cover. Which formula will he use? a. A = bh b. A = s2 c. A = bh d. A =  EMBED Equation.DSMT4 r2 381. Mimi is filling a tennis ball can with water. She wants to know the volume of the cylinder shaped can. What formula will she use? a. V =  EMBED Equation.DSMT4 r 2h b. V = 4/3  EMBED Equation.DSMT4 r3 c. V = 1/3  EMBED Equation.DSMT4 r 2h d. V = s3 382. Audrey is creating a raised flowerbed that is 4.5 ft by 4.5 ft. She needs to calculate how much lumber to buy. If she needs to know the distance around the flowerbed, which formula is easiest to use? a. P = a + b + c b. A = lw c. P = 4s d. C = 2  EMBED Equation.DSMT4 r 383. Al is painting a right cylinder storage tank. In order to purchase the correct amount of paint he needs to know the total surface area to be painted. Which formula will he use if he does not paint the bottom of the tank? a. S = 2  EMBED Equation.DSMT4 r2 + 2  EMBED Equation.DSMT4 rh b. S = 4  EMBED Equation.DSMT4 2 c. S =  EMBED Equation.DSMT4 r2 + 2  EMBED Equation.DSMT4 rh d. S = 6s2 384. Cathy is creating a quilt out of fabric panels that are 6 in by 6 in. She wants to know the total area of her square-shaped quilt. Which formula will she use? a. A = s2 b. A = bh c. A =  EMBED Equation.DSMT4 r2 d. A = h(b1 + b2) 385. If Lisa wants to know the distance around her circular table, which has a diameter of 42 in, which formula will she use? a. P = 4s b. P = 2l + 2w c. C =  EMBED Equation.DSMT4 d d. P = a + b + c 386. Danielle needs to know the distance around a basketball court. Which geometry formula will she use? a. P = 2l + 2s b. P = 4s c. P = a + b + c d. P = b1 + b2 + h 387. To find the volume of a cube that measures 3 cm by 3 cm by 3 cm, which formula would you use? a. V =  EMBED Equation.DSMT4 r 2h b. V =  EMBED Equation.DSMT4  c. V =  EMBED Equation.DSMT4  d. V = s3 388. To find the perimeter of a triangular region, which formula would you use? a. P = a + b + c b. P = 4s c. P = 2l + 2w d. C = 2  EMBED Equation.DSMT4 r 389. A racquetball court is 40 ft by 20 ft. What is the area of the court in square feet? a. 60 ft2 b. 80 ft2 c. 800 ft2 d. 120 ft2 390. Allan has been hired to mow the school soccer field, which is 180 ft wide by 330 ft long. If his mower mows strips that are 2 feet wide, how many times must he mow across the width of the lawn? a. 90 b. 165 c. 255 d. 60 391. Erin is painting a bathroom with four walls each measuring 8 ft by 5.5 ft. Ignoring the doors or windows, what is the area to be painted? a. 176 ft2 b. 88 ft2 c. 54 ft2 d. 160 ft2 392. The arm of a ceiling fan measures a length of 25 in. What is the area covered by the motion of the fan blades when turned on? ( EMBED Equation.DSMT4  = 3.14) a. 246.49 in2 b. 78.5 in2 c. 1,962.5 in2 d. 157 in2 393. A building that is 45 ft tall casts a shadow that is 30 ft long. Nearby, Heather is walking her standard poodle, which casts a shadow that is 2.5 ft long. How tall is Heather s poodle? a. 2.75 ft b. 3.25 ft c. 3.75 ft d. 1.67 ft 394. A circular pool is filling with water. Assuming the water level will be 4 ft deep and the diameter is 20 ft, what is the volume of the water needed to fill the pool? ( EMBED Equation.DSMT4  = 3.14) a. 251.2 ft3 b. 1,256 ft3 c. 5,024 ft3 d. 3,140 ft3 395. A cable is attached to a pole 24 ft above ground and fastened to a stake 10 ft from the base of the pole. In order to keep the pole perpendicular to the ground, how long is the cable? a. 22 ft b. 26 ft c. 20 ft d. 18 ft 396. Karen is buying a wallpaper border for her bedroom, which is 12 ft by 13 ft If the border is sold in rolls of 5 yards each, how many rolls will she need to purchase? a. 3 b. 4 c. 5 d. 6 397. The formula for the surface area of a sphere is 4  EMBED Equation.DSMT4 r2. What is the surface area of a ball with a diameter of 6 inches? Round to the nearest inch. ( EMBED Equation.DSMT4  = 3.14) a. 452 in2 b. 113 in2 c. 38 in2 d. 28 in2 398. Brittney would like to carpet her bedroom. If her room is 11 ft by 13 ft, what is the area to be carpeted in square feet? a. 121 ft2 b. 48 ft2 c. 169 ft2 d. 143 ft2 399. The scale on a map shows that 1 inch is equal to 14 miles. Shannon measured the distance on the map to be 17 inches. How far will she need to travel? a. 23.8 miles b. 238 miles c. 2,380 miles d. 23,800 miles 400. How far will a bowling ball roll in one rotation if the ball has a diameter of 10 inches? ( EMBED Equation.DSMT4  = 3.14) a. 31.4 in b. 78.5 in c. 15.7 in d. 62.8 in 401. A water sprinkler sprays in a circular pattern a distance of 10 ft. What is the circumference of the spray? ( EMBED Equation.DSMT4  = 3.14) a. 31.4 ft b. 314 ft c. 62.8 ft d. 628 ft 402. If a triangular sail has a vertical height of 83 ft and horizontal length of 30 ft, what is the area of the sail? a. 1,245 ft2 b. 1,155 ft2 c. 201 ft2 d. 2,490 ft2 403. What is the volume of a ball whose radius is 4 inches? Round to the nearest inch. ( EMBED Equation.DSMT4  = 3.14) a. 201 in3 b. 268 in3 c. 804 in3 d. 33 in3 .404. If a tabletop has a diameter of 42 in, what is its surface area to the nearest inch? ( EMBED Equation.DSMT4  = 3.14) a. 1,384 in2 b. 1,319 in2 c. 1,385 in2 d. 5,539 in2 405. An orange has a radius of 1.5 inches. Find the volume of one orange. ( EMBED Equation.DSMT4  = 3.14) a. 9.42 in3 b. 113.04 in3 c. 28.26 in3 d. 14.13 in3 406. A fire and rescue squad places a 15 ft ladder against a burning building. If the ladder is 9 ft from the base of the building, how far up the building will the ladder reach? a. 8 ft b. 10 ft c. 12 ft d. 14 ft 407. Safe deposit boxes are rented at the bank. The dimensions of a box are 22 in by 5 in by 5 in. What is the volume of the box? a. 220 in3 b. 550in3 c. 490 in3 d. 360 in3 408. How many degrees does a minute hand move in 20 minutes? a. 20 b. 120 c. 60 d. 100 409. Two planes leave the airport at the same time. Minutes later, plane A is 70 miles due north of the airport and plane B is 168 miles due east of the airport. How far apart are the two airplanes? a. 182 miles b. 119 miles c. 163.8 miles d. 238 miles 410. If the area of a small pizza is 78.5 in2, what size pizza box would best fit the small pizza? (Note: Pizza boxes are measured according to the length of one side.) a. 12 in b. 11 in c. 9 in d. 10 in 411. Stuckeyburg is a small town in rural America. Use the map to approximate the area of the town.  a. 40 miles2 b. 104 miles2 c. 93.5 miles2 d. 92 miles2 412. A rectangular field is to be fenced in completely. The width is 22 yd and the total area is 990 yd2. What is the length of the field? a. 968 yd b. 45 yd c. 31 yd d. 473 yd 413. A circular print is being matted in a square frame. If the frame is 18 in by 18 in, and the radius of the print is 7 in, what is the area of the matting? ( EMBED Equation.DSMT4 = 3.14) a. 477.86 in2 b. 170.14 in2 c. 280.04 in2 d. 288 in2 414. Ribbon is wrapped around a rectangular box that is 10 in by 8 in by 4 in. Using the illustration provided, determine how much ribbon is needed to wrap the box. Assume the amount of ribbon does not include a knot or bow.  a. 52 in b. 44 in c. 22 in d. 320 in 415. Pat is making a Christmas tree skirt. She needs to know how much fabric to buy. Using the illustration provided, determine the area of the skirt to the nearest foot.  a. 37.7 ft2 b. 27 ft2 c. 75 ft2 d. 38 ft2+ 416. Mark intends to tile a kitchen floor, which is 9 ft by 11 ft. How many 6-inch tiles are needed to tile the floor? a. 60 b. 99 c. 396 d. 449 417. A framed print measures 36 in by 22 in. If the print is enclosed by a 2-inch matting, what is the length of the diagonal of the print? Round to the nearest tenth. See illustration.  a. 36.7 in b. 39.4 in c. 26.5 in d. 50 in 418. A 20-foot light post casts a shadow 25 feet long. At the same time, a building nearby casts a shadow 50 feet long. How tall is the building? a. 40 ft b. 62.5 ft c. 10 ft d. 95 ft 419. Barbara is wrapping a wedding gift that is contained within a rectangular box 20 in by 18 in by 4 in. How much wrapping paper will she need? a. 512 in2 b. 1,440 in2 c. 1,024 in2 d. 92 in2 420. Mark is constructing a walkway around his inground pool. The pool is 20 ft by 40 ft and the walkway is intended to be 4 ft wide. What is the area of the walkway? a. 224 ft2 b. 416 ft2 c. 256 ft2 d. 544 ft2 421. The picture frame shown below has outer dimensions of 8 in by 10 in and inner dimensions of 6 in by 8 in. Find the area of section A of the frame.  a. 18 in2 b. 14 in2 c. 7 in2 d. 9 in2 For questions 422 and 423, use the following illustration.  422. John is planning to purchase an irregularly shaped plot of land. Referring to the diagram, find the total area of the land. a. 6,400 m2 b. 5,200 m2 c. 4,500 m2 d. 4,600 m2 423. Using the same illustration, determine the perimeter of the plot of land. a. 260 m b. 340 m c. 360 m d. 320 m 424. A weather vane is mounted on top of an 18 ft pole. If a 20 ft guy wire is staked to the ground to keep the pole perpendicular, how far is the stake from the base of the pole? a. 76 ft b.  EMBED Equation.DSMT4  c. 38 d.  EMBED Equation.DSMT4  425. A surveyor is hired to measure the width of a river. Using the illustration provided, determine the width of the river.  a. 48 ft b. 8 ft c. 35 ft d. 75 ft Answer Explanations The following explanations show one way in which each problem can be solved. You may have another method for solving these problems. 376. d. The area of a rectangle is length  EMBED Equation.DSMT4  width. 377. b. The volume of a sphere is 4/3 times  EMBED Equation.DSMT4  times the radius cubed. 378. b. The area of a triangle is times the length of the base times the length of the height. 379. b. The surface area of a sphere is four times  EMBED Equation.DSMT4  times the radius squared. 380. d. The area of a circle is  EMBED Equation.DSMT4  times the radius squared. 381. a. The volume of a cylinder is  EMBED Equation.DSMT4  times the radius squared, times the height of the cylinder. 382. c. The perimeter of a square is four times the length of one side. 383. c. The area of the base is  EMBED Equation.DSMT4  times radius squared. The area of the curved region is two times  EMBED Equation.DSMT4  times radius times height. Notice there is only one circular region since the storage tank would be on the ground. This area would not be painted. 384. a. The area of a square is side squared or side times side. 385. c. The circumference or distance around a circle is  EMBED Equation.DSMT4  times the diameter. 386. a. The perimeter of a rectangle is two times the length plus two times the width. 387. d. The volume of a cube is the length of the side cubed or the length of the side times the length of the side times the length of the side. 388. a. The perimeter of a triangle is length of side a plus length of side b plus length of side c. 389. c. The area of a rectangle is length times width. Therefore, the area of the racquetball court is equal to 40 ft times 20 ft or 800 ft2. If you chose answer d, you found the perimeter or distance around the court. 390. a. The width of the field, 180 ft, must be divided by the width of the mower, 2 ft. The result is that he must mow across the lawn 90 times. If you chose b, you calculated as if he were mowing the length of the field. If you chose c, you combined length and width, which would result in mowing the field twice. 391. a. The area of the room is the sum of the area of four rectangular walls. Each wall has an area of length times width, or (8)(5.5), which equals 44 ft2. Multiply this by 4 which equals 176 ft2. If you chose c, you added 8 ft and 5.5 ft instead of multiplying. 392. c. The ceiling fan follows a circular pattern, therefore area = r2. Area = (3.14)(25)2 = 1,962.5 in2. If you chose a, the incorrect formula you used was  EMBED Equation.DSMT4 r. If you chose d, the incorrect formula you used was d. 393. c. To find the height of Heather s poodle, set up the following proportion: height of the building/shadow of the building = height of the poodle/shadow of the poodle or  EMBED Equation.DSMT4  Cross-multiply, 112.5 = 30x. Solve for x; 3.75 = x. If you chose d, the proportion was set up incorrectly as  EMBED Equation.DSMT4  394. b. The volume of a cylinder is EMBED Equation.DSMT4 h. Using a height of 4 ft and radius of 10 ft, the volume of the pool is (3.14)(10)2(4) or 1,256 ft3. If you chose a, you used  EMBED Equation.DSMT4 dh instead of  EMBED Equation.DSMT4 h. If you chose c, you used the diameter squared instead of the radius squared. 395. b. The connection of the pole with the ground forms the right angle of a triangle. The length of the pole is a leg within the right triangle. The distance between the stake and the pole is also a leg within the right triangle. The question is to find the length of the cable, which is the hypotenuse. Using the Pythagorean theorem: 242 + 102 = c2; 576 + 100 = c2; 676 = c2; 26 = c. If you chose a, you thought the hypotenuse, rather than a leg, was 24 ft. 396. b. The distance around the room is 2(12) + 2(13) or 50 ft. Each roll of border is 5(3) or 15 ft. By dividing the total distance, 50 ft, by the length of each roll, 15 ft, we find we need 3.33 rolls. Since a roll cannot be subdivided, 4 rolls will be needed. 397. b. If the diameter of a sphere is 6 inches, the radius is 3 inches. The radius of a circle is half the diameter. Using the radius of 3 inches, surface area equals (4)(3.14)(3)2 or 113.04 in2. Rounding this to the nearest inch is 113 in2. If you chose a, you used the diameter rather than the radius. If you chose c, you did not square the radius. If you chose d, you omitted the value 4 from the formula for the surface area of a sphere. 398. d. The area of a rectangle is length times width. Using the dimensions described, area = (11)(13) or 143 ft2. 399. b. To find how far Shannon will travel, set up the following proportion:  EMBED Equation.DSMT4  Cross multiply, x = 238 miles. 400. a. The circumference of a circle is  EMBED Equation.DSMT4 d. Using the diameter of 10 inches, the circumference is equal to (3.14)(10) or 31.4 inches. If you chose b, you found the area of a circle. If you chose c, you mistakenly used  EMBED Equation.DSMT4 r for circumference rather than 2 EMBED Equation.DSMT4 r. If you chose d, you used the diameter rather than the radius. 401. c. The circumference of a circle is  EMBED Equation.DSMT4 d. Since 10 ft represents the radius, the diameter is 20 feet. The diameter of a circle is twice the radius. Therefore, the circumference is (3.14)(20) or 62.8 ft. If you chose a, you used  EMBED Equation.DSMT4 r rather than 2 EMBED Equation.DSMT4 r. If you chose b, you found the area rather than circumference. 402. a. The area of a triangle is (base)(height). Using the dimensions given, area = (30)(83) or 1,245 ft2. If you chose b, you assigned 83 ft as the value of the hypotenuse rather than a leg. If you chose c, you found the perimeter of the triangular sail. If you chose d, you omitted from the formula. 403. b. The volume of a sphere is 4/3  EMBED Equation.DSMT4 r3. Using the dimensions given, volume = 4/3 (3.14)(4)3 or 267.9. Rounding this answer to the nearest inch is 268 in3. If you chose a, you found the surface area rather than volume. If you chose c, you miscalculated surface area by using the diameter. 404. c. The area of a circle is r2. The diameter = 42 in, radius = 42 2 = 21 in, so (3.14)(21)2 = 1,384.74 in2. Rounding to the nearest inch, the answer is 1,385 in2. If you chose a, you rounded the final answer incorrectly. If you chose d, you used the diameter rather than the radius. 405. d. To find the volume of a sphere, use the formula Volume = 4/3  EMBED Equation.DSMT4 r3. Volume = 4/3 (3.14)(1.5)3 = 14.13 in3. If you chose a, you squared the radius instead of cubing the radius. If you chose b, you cubed the diameter instead of the radius. If you chose c, you found the surface area of the sphere, not the volume. 406. c. The ladder forms a right triangle with the building. The length of the ladder is the hypotenuse and the distance from the base of the building is a leg. The question asks you to solve for the remaining leg of the triangle, or how far up the building the ladder will reach. Using the Pythagorean theorem: 92 + b2 = 152; 81 + b2 = 225; 81 _ b2 - 81 = 225 - 81; b2 = 144; b = 12. 407. b. The volume of a rectangular solid is length times width times depth. Using the dimensions in the question, volume = (22)(5)(5) or 550 in3. If you chose c, you found the surface area of the box. 408. b. A minute hand moves 180 degrees in 30 minutes. Using the following proportion:  EMBED Equation.DSMT4 =  EMBED Equation.DSMT4  Cross-multiply, 30x = 3,600. Solve for x; x = 120 degrees. 409. a. The planes are traveling perpendicular to each other. The course they are traveling forms the legs of a right triangle. The question requires us to find the distance between the planes or the length of the hypotenuse. Using the Pythagorean theorem 702 + 1682 = c2; 4,900 + 28,224 = c2; 33,124 = c2; c = 182 miles. If you chose c, you assigned the hypotenuse the value of 168 miles and solved for a leg rather than the hypotenuse. If you chose d, you added the legs together rather than using the Pythagorean theorem. 410. d. The area of a small pizza is 78.5 in2. The question requires us to find the diameter of the pizza in order to select the most appropriate box. Area is equal to  EMBED Equation.DSMT4 r2. Therefore, 78.5 = EMBED Equation.DSMT4 r2; divide by  EMBED Equation.DSMT4  (3.14); 78.5 3.14 =  EMBED Equation.DSMT4 r2 3.14; 25 = r2; 5 = r. The diameter is twice the radius or 10 inches. Therefore, the box is also 10 inches. 411. d. The area of Stuckeyburg can be found by dividing the region into a rectangle and a triangle. Find the area of the rectangle (A = lw) and add the area of the triangle (1/2 bh) for the total area of the region. Referring to the diagram, the area of the rectangle is (10)(8) = 80 miles2. The area of the triangle is (8)(3) = 12 miles2. The sum of the two regions is 80 miles2 + 12 miles2 = 92 miles2. If you chose a, you found the perimeter. If you chose b, you found the area of the rectangular region but did not include the triangular region.  412. b. The area of a rectangle is length times width. Using the formula 990 yd2 = (l )(22), solve for l by dividing both sides by 22; l = 45 yards. 413. b. To find the area of the matting, subtract the area of the print from the area of the frame. The area of the print is found using r2 or (3.14)(7)2 which equals 153.86 in2. The area of the frame is length of side times length of side or (18)(18), which equals 324 in2. The difference, 324 in2 " 153.86 in2 or 170.14 in2, is the area of the matting. If you chose c, you mistakenly used the formula for the circumference of a circle, 2 EMBED Equation.DSMT4 r, instead of the area of a circle, r2. 414. a. The ribbon will travel the length (10 in) twice, the width (8 in) twice and the height (4 in) four times. Adding up these distances will determine the total amount of ribbon needed. 10 in + 10 in + 8 in + 8 in + 4 in + 4 in + 4 in + 4 in = 52 inches of ribbon. If you chose b, you missed two sides of 4 inches. If you chose d, you calculated the volume of the box. 415. d. To find the area of the skirt, find the area of the outer circle minus the area of the inner circle. 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hL5CJOJQJ\^JaJhLCJOJQJ^JaJhLCJOJQJ^JaJhLCJOJQJ^JaJjhLUjh\xhLEHU8SGGGlHHZIIJJDKK8LyLLLMYMMMMENNNOdOOOO 7$8$H$`gdL 7$8$H$gdLI&J(J*J,J2JLJNJJJJJJKLLLLLL5L6LBLCLLLML\L]LLLLLLL˽ːx˽˽˽m`jh\xhLEHUjJ hLUVjh\xhLEHUjՊJ hLUVhLCJOJQJ^JaJhLCJOJQJ^JaJ hL5CJOJQJ\^JaJhLCJOJQJ^JaJ hL6CJOJQJ]^JaJjhLUj h\xhLEHUjJ hLUVhL!LLLLLLLLLLL6M7MFMGMVMWMbMcMzM{M|M}MMMMMMMMMMMŽłłŽwjŽ_Rjh\xhLEHUjJ hLUVjsh\xhLEHUj*J hLUVhLCJOJQJ^JaJ hL6CJOJQJ]^JaJjh\xhLEHUjJ hLUVhLjhLUhLCJOJQJ^JaJ hL5CJOJQJ\^JaJhLCJOJQJ^JaJhLCJOJQJ^JaJ MMMMJOLOPOROTOUOVOdOeOfOnOoOpOwOxOOOOOOPPPQQQQQQQQ R R:R;RRRRRRRSSJSKSLScSdSeSfShS򭥡jh\xhLEHUjJ hLUVhLjhLU h;hL hL6CJOJQJ]^JaJhLCJOJQJ^JaJ hL5CJOJQJ\^JaJhLCJOJQJ^JaJhLCJOJQJ^JaJ6OP`PPPP!QnQQRIRRRRRRgSSSS=TTTUUUVV 7$8$H$`gdL 7$8$H$gdLhSxSzSSSSSSSSSSS6T7TfTgT}T~TTTTTTTTTTTTTTTUUU>U?UVU򺶫򺶓{njh\xhLEHUjJ hLUVj^h\xhLEHUjJ hLUVjh\xhLEHUjJ hLUVhLjhLU hL5CJOJQJ\^JaJhLCJOJQJ^JaJ hL6CJOJQJ]^JaJhLCJOJQJ^JaJ&VUWUXUYUZU V VVV.V/V0V1V3V@VAVXVYVZV[V\VkVlVVVVVVVV W W߫߫{m__QhLCJOJQJ^JaJhLCJOJQJ^JaJhLCJOJQJ^JaJjPh\xhLEHUjЋJ hLUVjh\xhLEHUjċJ hLUVhL hL5CJOJQJ\^JaJhLCJOJQJ^JaJ hL6CJOJQJ]^JaJjhLUjZh\xhLEHUjʋJ hLUVVVVV7WWWW;XXXYYhZZ[\\n\\\C][]\]]]:^^ 7$8$H$gdL 7$8$H$`gdL WWWoWpWWWWWWWWWWWXXXXXX=XAXJXLXXXXXXXYYYZZZZZZZZ[[.[0[ӽthLCJOJQJ^JaJhLCJOJQJ^JaJ hL6CJOJQJ]^JaJjh\xhLEHUjJ hLUVhLjhLUhLCJOJQJ^JaJhLCJOJQJ^JaJ hL5CJOJQJ\^JaJhLCJOJQJ^JaJ-0[[[\\ \D\H\I\`\a\b\c\d\e\p\t\\\\\\\\\]]\]a]e]^^^^^^^^^^^^^^^^ŽtthLCJOJQJ^JaJhLCJOJQJ^JaJ hL6CJOJQJ]^JaJjGh\xhLEHUjJ hLUVhLjhLUhLCJOJQJ^JaJhLCJOJQJ^JaJ hL5CJOJQJ\^JaJhLCJOJQJ^JaJ-^^^^^^^^^^^^r_s______``````!`"`9`:`;`<`>`P`R`e`f`h`j`y```|a䷦䷦䞚wj䷦jh\xhLEHUjJ hLUVjh\xhLEHUjJ hLUVhLjhLU hL5CJOJQJ\^JaJhLCJOJQJ^JaJhLCJOJQJ^JaJ hL6CJOJQJ]^JaJhLCJOJQJ^JaJhLCJOJQJ^JaJ)^^^/_x____>`y`z``afaaaDbbb&c.ddDeFee8f 7$8$H$`gdL 7$8$H$gdL 7$8$H$^gdL|a~aaaaaaaaaaaaaaaa=b>bbbbbb/c0cGcHcIcJcKcLc_c`cwcxcyczc{c|cccc䬨䬨x䬨j6h\xhLEHUjڌJ hLUVjh\xhLEHUjJ hLUVhLjhLUhLCJOJQJ^JaJ hL5CJOJQJ\^JaJ hL6CJOJQJ]^JaJhLCJOJQJ^JaJhLCJOJQJ^JaJ*cccdd.d0d^d`dbdddfdjddddddFePeVe(f*f,f.fRfVfXfffffff g"g߿ߖÖÖziÖÖ[È[ÈÈhLCJOJQJ^JaJ hL5CJOJQJ\^JaJhLCJOJQJ^JaJhLCJOJQJ^JaJ hL6CJOJQJ]^JaJj+h\xhLEHUjΌJ hLUVhLhLCJOJQJ^JaJhLCJOJQJ^JaJjhLUjh\xhLEHUjJ hLUV#8fffgdgggggZhhi jj2kkHlllmnLnnnnn;o& 7$8$H$gdL 7$8$H$`gdL"g,g.g8g9gHgIgqgrgggggg^hbhhhlhhhhhhhhiijjj򬗅s^^^L^s#hLB*CJOJQJ^JaJph)hL6B*CJOJQJ]^JaJph#hLB*CJOJQJ^JaJph#hLB*CJOJQJ^JaJph)hL5B*CJOJQJ\^JaJph#hLB*CJOJQJ^JaJph)jhhLCJOJQJU^JaJ hL5CJOJQJ\^JaJhLCJOJQJ^JaJhLCJOJQJ^JaJj jLjNj kk>kBkFkXk\ktkvkkkZl\lllllllllllllnnnnnn۴۬{{i۴۴[hLCJOJQJ^JaJ#hLB*CJOJQJ^JaJph)hL6B*CJOJQJ]^JaJphjh\xhLEHUjuJ hLUVhLjhLU)hL5B*CJOJQJ\^JaJph#hLB*CJOJQJ^JaJph#hLB*CJOJQJ^JaJph#hLB*CJOJQJ^JaJph"nnp*,pt|XZxzNP~D᭩᭩y᭩jh\xhLEHUjJ hLUVjh\xhLEHUjJ hLUVhLjhLUhLCJOJQJ^JaJhLCJOJQJ^JaJhLCJOJQJ^JaJUhLCJOJQJ^JaJ hL5CJOJQJ\^JaJ, (3.5)2 or 38.465 in2. The area of the inner circle is (.5)2 or .785 in2. The difference is 38.465 " .785 or 37.68 ft2. The answer, rounded to the nearest foot, is 38 ft2. If you chose a, you rounded to the nearest tenth of a foot. If you chose b, you miscalculated the radius of the outer circle as being 3 feet instead of 3.5 feet. 416. c. Since the tiles are measured in inches, convert the area of the floor to inches as well. The length of the floor is 9 ft  EMBED Equation.DSMT4  12 in per foot = 108 in. The width of the floor is 11 ft  EMBED Equation.DSMT4  12 in per foot = 132 in. The formula for area of a rectangle is length  EMBED Equation.DSMT4  width. Therefore, the area of the kitchen floor is 108 in  EMBED Equation.DSMT4  132 in or 14,256 in2. The area of one tile is 6 in  EMBED Equation.DSMT4  6 in or 36 in2. Finally, divide the total number of square inches by 36 in2 or 14,256 in2 divided by 36 in2 = 396 tiles. 417. a. If a framed print is enclosed by a 2-inch matting, the print is 4 in less in length and height. Therefore, the picture is 32 in by 18 in. These measurements along with the diagonal form a right triangle. Using the Pythagorean theorem, solve for the diagonal. 322 + 182 = c2; 1,024 + 324 = c2; 1,348 = c2; 36.7 = c. If you chose b, you reduced the print 2 inches less than the frame in length and height rather than 4 inches. 418. a. To find the height of the building set up the following proportion:  EMBED Equation.DSMT4  =  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  . Cross-multiply: 1,000 = 25x. Solve for x by dividing both sides by 25; x = 40. If you chose b, you set up the proportion incorrectly as  EMBED Equation.DSMT4  . If you chose c, you set up the proportion incorrectly as  EMBED Equation.DSMT4  419. c. The surface area of the box is the sum of the areas of all six sides. Two sides are 20 in by 18 in or (20)(18) = 360 in2. Two sides are 18 in by 4 in or (18)(4) = 72 in2. The last two sides are 20 in by 4 in or (20)(4) = 80 in2. Adding up all six sides: 360 in2 + 360 in2 + 77 in2 + 77 in2 + 80 in2 + 80 in2 = 1,024 in2, is the total area. If you chose a, you did not double all sides. If you chose b, you calculated the volume of the box. 420. d. The area of the walkway is equal to the entire area (area of the walkway and pool) minus the area of the pool.The area of the entire region is length times width. Since the pool is 20 feet wide and the walkway adds 4 feet onto each side, the width of the rectangle formed by the walkway and pool is 20 + 4 + 4 = 28 feet. Since the pool is 40 feet long and the walkway adds 4 feet onto each side, the length of the rectangle formed by the walkway and pool is 40 + 4 + 4 = 48 feet. Therefore, the area of the walkway and pool is (28)(48) = 1,344 ft2. The area of the pool is (20)(40) = 800 ft2. 1,344 ft2  800 ft2 = 544 ft2. If you chose c, you extended the entire area s length and width by 4 feet instead of 8 feet. 421. c. The area described as section A is a trapezoid. The formula for the area of a trapezoid is h(b1 + b2). The height of the trapezoid is 1 inch, b1 is 6 inches, and b2 is 8 inches. Using these dimensions, area = (1)(6 + 8) or 7 in2. If you chose b, you used a height of 2 inches rather than 1 inch. If you chose d, you found the area of section B or D. 422. b. To find the total area, add the area of region A plus the area of region B plus the area of region C. The area of region A is length times width or (100)(40) = 4,000 m2. Area of region B is bh or (40)(30) = 600 m2. The area of region C is bh or (30)(40) = 600 m2. The combined area is the sum of the previous areas or 4,000 + 600 + 600 = 5,200 m2. If you chose a, you miscalculated the area of a triangle as bh instead of _bh. If you chose c, you found only the area of the rectangle. If you chose d, you found the area of the rectangle and only one of the triangles. 423. c. To find the perimeter, we must know the length of all sides. According to the diagram, we must find the length of the hypotenuse for the triangular regions B and C. Using the Pythagorean theorem for triangular region B, 302 + 402 = c2; 900 + 1,600 = c2; 2,500 = c2; 50 m = c. The hypotenuse for triangular region C is also 50 m since the legs are 30 m and 40 m as well. Now adding the length of all sides, 40 m + 100 m + 30 m + 50 m + 30 m + 50 m + 60 m = 360 m, the perimeter of the plot of land. If you chose a, you did not calculate in the hypotenuse on either triangle. If you chose b, you miscalculated the hypotenuse as having a length of 40 m. If you chose d, you miscalculated the hypotenuse as having a length of 30 m. 424. d. The 18 ft pole is perpendicular to the ground forming the right angle of a triangle. The 20 ft guy wire represents the hypotenuse. The task is to find the length of the remaining leg in the triangle. Using the Pythagorean theorem: 182 + b2 = 202; 324 + b2 = 400; b2 = 76; b =  EMBED Equation.DSMT4 or  EMBED Equation.DSMT4 . 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