56) The entranceway to the Green family home will be paved with red brick at a cost of $12 per square foot including installation. The 2 ft 2 ft 7 ft 1 ft 3 ft Entranceway 4 ft 8 ft entranceway is represented by the shaded area below. What is the total cost? Find the perimeter and the area of the given fi gure. In Exercises 61 and 62, you must fi rst fi nd the missing length. 57) 2 mi 3 2 mi 3 2 mi 3 2 mi 3 58) 1 cm 3 cm 1 4 3 cm 2 5 59) 6 ft 14 ft 25 ft 8 ft 4 ft 1 2 60) 15 in. 7 in. 61) 5 cm ? 9 cm 11 cm 16 cm 3 cm 62) 10 ft 3 ft 7 ft 2 ft 3 ft 4 ft ? 7 ft ? Solve each problem. 63) Cailen is an artist and wants to frame one of her 12 paintings by herself. The frame she chooses costs $12 per foot. Find the cost of the frame if the painting is 1 ft by 3 ft. 64) Frank will replace the broken glass in his back door with a rectangular piece of glass that costs $4 per square foot. If he needs a piece of glass that is 1 3 4 ft by 3 ft, fi nd the cost of the glass. 65) A walking area surrounding the pool in the diagram is going to Walking area 10 ft 14 ft be refi nished with a nonslip surface. If it costs $17 per square foot to install the surface, what is the total cost? (Hint: Multiply the nonslip area by $17, the cost per square foot.) 66) Mr. and Mrs. Anh 16 ft 20 ft 22 ft want to install wood fl ooring and carpet in an area of their home as shown in the diagram. Installation costs are $6 per square foot for carpet and $7 per square foot for the wood fl ooring. What is the total cost for the installation of both? (Hint: The cost of installing the carpet equals the area of the carpet times $6, the cost per square foot. The cost of installing the wood fl ooring equals the area of the wood fl ooring times $7, the cost per square foot.) R1) Revisit Exercises 51–53 and think of another way to fi nd the total area using subtraction. Describe what you did to fi nd the area. 8 ft Wood flooring Carpet 12 ft 6 ft R2) Describe how a good knowledge of common squares and multiplication has helped you with this section. www.mhhe.com/messersmith SECTION 4.2 Rectangles, Squares, Parallelograms, and Trapezoids 307
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