SOLUTION: 2.) A man built a walk of uniform width around a rectangular pool. If the area of the walk is 189 square feet and the dimensions of the pool are 8 feet by 12 feet, how wide is the

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Question 903541: 2.) A man built a walk of uniform width around a rectangular pool. If the area of the walk is 189 square feet and the dimensions of the pool are 8 feet by 12 feet, how wide is the walk?

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
w = width of the uniform path around pool

highlight_green%28%288%2B2w%29%2812%2B2w%29-8%2A12=189%29
8%2A12%2B24w%2B16w%2B4w%5E2-8%2A12=189
4w%5E2%2B40w-189=0

w=%28-40%2Bsqrt%281600%2B4%2A4%2A189%29%29%2F%282%2A4%29
w=%28-40%2B4sqrt%28289%29%29%2F%282%2A4%29
w=%28-10%2Bsqrt%28289%29%29%2F2
w=%2817-10%29%2F2
highlight%28w=7%2F2%29