SOLUTION: Dimensions of the edge of a swimming pool. A clubhouse pool is 30 feet wide and 40 feet long. Club members want a banquette of uniform width around the pool. They have enough mater

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Question 1173319: Dimensions of the edge of a swimming pool. A clubhouse pool is 30 feet wide and 40 feet long. Club members want a banquette of uniform width around the pool. They have enough material for 296 square feet. How wide should the strip be?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
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Club members want a banquette of uniform width around the pool.
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No. That is not what you mean. Maybe a border or walkway or something, but not "banquette".

p, the uniform strip width around the pool
(30+2p)(40+2p), area of pool PLUS the surrounding whatever
(30)(40), area of just the pool upper surface

highlight_green%28%2830%2B2p%29%2840%2B2p%29-30%2A40=296%29--------simplify and solve

Possible first two steps:
30%2A40%2B80p%2B60p%2B4p%5E2-30%2A40=296
140p-4p%5E2=296
and YOU continue and finish!
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