30) The entranceway to a newly renovated hotel is going to be paved with natural stone costing $126 per square meter for the installation. The entranceway is represented by the shaded area below. What is the total cost for the new entranceway? 4 m 4 m 14 m 6 m 6 m Entranceway 3 m 3 m 6 m 6 m 16 m Find mx in each triangle. 31) 58° 84° x 32) 37° 124° x Classify each triangle as acute, right, or obtuse. 33) U V W 34) N P Q Classify each triangle as equilateral, isosceles, or scalene. 35) 20 cm 12 cm 16 cm 36) 3 dm 1 3 3 dm 1 3 3 dm 1 3 24) 2 yd 1 1 2 yd yd 3 Find the area of the given triangle. 25) 2 in. 2 in. 1 4 3 in. 1 2 26) 1 m m 1 2 m 7 16 27) Find the area of the shaded region. 10 ft 34 ft 7 ft 10 ft 4 ft 14 ft 28) Find the area of the unshaded region. 7 m 7 m 1 m 1 m 4 m Solve each problem. 29) Mr. and Mrs. Nguyen Reflecting pond 4 ft 10 ft 10 ft 8 ft 8 ft 15 ft have a refl ecting pond in their backyard with an irregular shape shown in the fi gure. They hire a monthly service at a cost of $2 per square foot to maintain the pond. What is the cost of the Nguyens’ monthly service? www.mhhe.com/messersmith CHAPTER 4 Review Exercises 351
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