An in ground rectangular pool has a concrete pathway surrounding the pool. if the pool is 16 feet by 32 feet and the entire area of the pool including the walkaway is 924 ft^2, find the width of the walkway
1 answer:
1. Let's call: x: the width of the walkway. b: 2x+16 (there is a widht "x" of the walkway on each side). h: 2x+32 (there is a widht "x" of the walkway on each side). A: 924 ft^2 ( the area of the pool of including the walkway). 2. The area of a rectangle is: A=(b)(h) b: the base of the rectangle (2x+16) a: the height of the rectangle (2x+32) 3. Then, we have a quadratic equation: 924=(2x+16)(2x+32) 4x^2+64x+32x+512-924=0 4x^2+96x-412=0 4. We apply the quadratic formula to find the value of "x": x=(-b±√(b^2-4ac))/2a x=3.71 The answer is: The width of the walkway is 3.71 ft
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