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Brianna2019s Parents Built A Swimming Pool In The Backyard. Brianna Says That The Distance Around The Pool Is 120 Feet. Is She Correct? Explain Your R
Brianna's parents built a swimming pool in the backyard. Brianna says that the distance around the pool is 120 feet. Is she correct? Explain your reasoning, or show your work. Answer: No, Brianna is not correct. The distance around the pool is 131.4 ft. Step-by-step explanation: The distance around the pool are: 1) Semi circle with a diameter equal to the side opposite it, 20 ft. Find the length of half the circle: Circumference of semi-circle = (1/2)(πd) Where: π = 3.14 d = 20 ft. Circumference of semi-circle = (1/2)(3.14)(20 ft) = 31.4 ft. 2) Vertical lengths from the endpoint of semi-circle to the endpoints of horizontal lengths, 40 ft each ⇒ 2 × 40 ft. = 80 ft. 3.) Horizontal length at 20 ft. Add the semi-circle, vertical, and horizontal lengths: Distance around the pool = 31.4 ft + 80 ft. + 20 ft. Distance around the pool = 131.4 ft.
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