SOLUTION: A club swimming pool is 37 ft wide and 47 ft long. The club members want an exposed aggregate border in a strip of uniform width around the pool. They have enough material for

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Question 1075865: A club swimming pool is
37
ft wide and
47 ft long. The club members want an exposed aggregate border in a strip of uniform width around the pool. They have enough material for
352
ft squared
How wide can the strip​ be?
Found 2 solutions by josgarithmetic, jorel1380:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Total area combined, minus the pool upper surface area, is the area of just the border around the pool.
highlight_green%28%2837%2B2w%29%2847%2B2w%29-37%2A47=352%29


2%2A47w%2B2%2A37w%2B4w%5E2=352
4w%5E2%2B2%2847%2B37%29w-352=0
4w%5E2%2B2%2A84w-352=0
w%5E2%2B42w-88=0

discriminant, 42%5E2-4%2A%28-88%29=2116=46%5E2

w=%28-42%2B46%29%2F2

highlight%28w=2%29

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let w be the width of the strip. Then:
(47+2w)(37+2w)-(47)(37)=352
4w²+168w-352=0
w²+42w-88=0
(w+44)(w-2)=0
w=-44 or 2
There is enough material for a strip 2 ft. wide. ☺☺☺☺