Survey of Mathematics

8.3 Perimeter and Area 485 51. Ordering Pizza Millard is ordering pizza for his family and can choose between two restaurants. Michelangelo’s sells an extra-large rectangular pizza that measures 12 inches by 18 inches for $24. Valentino’s sells an extra-large circular pizza that has a diameter of 16 inches for $23.50. Assume the thickness of the two pizzas is the same. a) Determine the area of the Michelangelo’s pizza. 216 in.2 b) Determine the cost per square inch of the Michelangelo’s pizza. $0.11 c) Determine the area of the Valentino’s pizza. 201.06 in.2 d) Determine the cost per square inch of the Valentino’s pizza. $0.12 e) To get the most for his money, from which restaurant should Millard order the pizza? Michelangelo’s 52. Golf Greens The nine golf greens at Quick-Time Golf are all circular in shape with a diameter of 18 feet. Carl, the groundskeeper, must fertilize the greens once a month. Liquid fertilizer for the greens costs $18 per bottle and one bottle can cover 1600 square feet. Only whole bottles can be purchased. a) Determine the sum of the areas of all nine golf greens. 2290.22 ft2 b) How many bottles of fertilizer does Carl need for one year? 18 bottles c) What is the cost of fertilizing the greens for one year? $324 53. Cost of a Lawn Service Clarence and Rose’s home lot is illustrated here. Clarence and Rose wish to hire Picture Perfect Lawn Service to cut their lawn. How much will it cost Clarence and Rose to have their lawn cut if Picture Perfect charges $0.03 per square yard? $351.31 70 ft 40 ft 25 ft 30 ft 40 ft House 50 ft 100 ft 150 ft Driveway Garage Privacy hedge Goldfish pond 200 ft 20 ft 300 ft 400 ft 54. Cost of a Lawn Service Chloe and Zion’s home lot is illustrated here. They wish to hire a lawn service to cut their lawn. M&M Lawn Service charges $0.03 per square yard of lawn. How much will it cost them to have their lawn cut? $58.39 200 ft 24 ft Pool Patio House 50 ft 40 ft Driveway 10 ft 30 ft 25 ft 10 ft 10 ft Shed 8 ft 100 ft $ $ $ $ 46. Cost of Saxony Carpeting The cost of Saxony carpeting is $11.99 per square foot. This price includes the cost of installation. Determine the cost for Nancy to have this carpeting installed in all three bedrooms. $5755.20 In Exercises 47–58, when appropriate, round your answer to the nearest hundredth. 47. Ladder on a Wall Lorrie places a 29-ft ladder against the side of a building with the bottom of the ladder 20 ft away from the building (see figure). How high up on the wall does the ladder reach? 21 ft 20 ft 29 ft ladder 48. Docking a Boat Brian is bringing his boat into a dock that is 9 ft above the water level (see figure). If a 41-ft rope is attached to the dock on one side and to the boat on the other side, determine the horizontal distance from the dock to the boat. 40 ft 41 ft rope 9 ft 49. The Green Monster In Fenway Park, home of baseball’s Boston Red Sox, the left field wall is known as the Green Monster. The distance from home plate down the third baseline to the bottom of the wall is 310 feet (see photo). In left field, at the end of the baseline, the Green Monster is perpendicular to the ground and is 37 feet tall. Determine the distance from home plate to the top of the Green Monster along the third baseline. 312.20 ft 50. OLED Television The screen of an OLED television is in the shape of a rectangle with a diagonal of length 43 in. If the height of the screen is 21 in., determine the width of the screen. 37.52 in. $

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