Section 2.6 Formulas and Applications of Geometry 155 61. Find the value of x and the measure of each angle labeled in the figure. 62. Find the value of y and the measure of each angle labeled in the figure. 63. a. A rectangle has length l and width w. Write a formula for the area. b. Solve the formula for the width, w. c. The area of a rectangular volleyball court is 1740.5 ft2 and the length is 59 ft. Find the width. (3y 18)° 64. a. A parallelogram has height h and base b. Write a formula for the area. b. Solve the formula for the base, b. c. Find the base of the parallelogram pictured if the area is 40 m2. (3x 5)° (2x)° 59 ft Area 1740.5 ft2 5 m b ? (y 2)° Perimeter 338 m 67. a. A circle has a radius of r. Write a formula for the circumference. (See Example 6.) b. Solve the formula for the radius, r. c. The circumference of the circular Buckingham Fountain in Chicago is approximately 880 ft. Find the radius. Round to the nearest foot. 68. a. The length of each side of a square is s.Write a formula for the perimeter of the square. b. Solve the formula for the length of a side, s. c. The Pyramid of Khufu (known as the Great Pyramid) at Giza has a square base. If the distance around the bottom is 921.6 m, find the length of the sides at the bottom of the pyramid. 65. a. A rectangle has length l and width w. Write a formula for the perimeter. b. Solve the formula for the length, l. c. The perimeter of the soccer field at Giants Stadium is 338 m. If the width is 66 m, find the length. 66. a. A triangle has height h and base b. Write a formula for the area. b. Solve the formula for the height, h. c. Find the height of the triangle pictured if the area is 12 km2. 66 m h ? b 6 km s s s s
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