Solve each problem. 63) Mr. and Mrs. Fraser want to install wood fl ooring on their rectangular living room fl oor that measures 20 ft by 14 ft. If the installation charge is $5 per square foot, what is the total installation charge? 64) Suppose a rectangle has a perimeter of 30 ft. If the rectangle has a length of 6 ft, what is its width? 65) The base of a pyramid is a square with a side length of 50 ft. If the height of the pyramid is 42 ft, fi nd the volume of the pyramid. 66) The base of a triangular sign is 1 1 2 m long, and the height of the sign is 2 m. What is the area of the sign? Find the area of the figure. 67) 10 ft 22 ft 22 ft 6 ft 6 ft Mixed Exercises 68) Find the measure of each angle. 69) A 3 3 Rubik’s cube has a side length of approximately 2.25 in. Find the combined area of all six faces of the cube. B Write an equation and solve. Use the Five Steps for Solving Applied Problems. 70) Lorenzo is building a workbench for his garage. The top is in the shape of a rectangle, and it is 4 ft longer than it is wide. Find the dimensions of the top of the workbench if its perimeter is 20 ft. Chapter 4: Test 1) Identify each fi gure as a line, line segment, or ray, and name it using the correct notation. a) K N b) F G c) A R 2) a) What does it mean if two lines are perpendicular? b) What does it mean if two lines are parallel? 3) What is the difference between an acute angle and an obtuse angle? 4) Classify each angle as acute, obtuse, right, or straight. a) A b) Z Y X c) R S T For Exercises 5–8, a) identify the fi gure. b) fi nd the area. c) fi nd the perimeter. 5) 12 cm 25 cm 20 cm 15 cm 6) 12 in. 9 in. 13 in. 14 in. 7) 5 ft 1 2 7 ft 2 3 8) 28 m 9 m 15 m 9) For this fi gure, fi nd a) the area. b) the perimeter. 6 ft 7 ft 353 CHAPTER 9 Geometry www.mhhe.com/messersmith 9 ft 10 ft 6 ft 4 ft 5 ft 5 ft (2x 1 10)° (x 1 2)° x° A C www.mhhe.com/messersmith CHAPTER 4 Test 353
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