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)   (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.








discriminant,




Answer by jorel1380(3719)   (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. ☺☺☺☺

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