SOLUTION: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 315 square feet and the dimensions of the pool are 8 feet by 18 feet, how wide is the walk

Question 831455: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 315 square feet and the dimensions of the pool are 8 feet by 18 feet, how wide is the walk? please help!
Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
already answered twice in the last few days
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the width of the walk
The measurement of the shortest side is

The measurement of the longest side is

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The area of the pool is ft2
The area of the pool plus the walk is
ft2
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I can also express the area of the pool plus
the walk as:
, so

( can't use the negative square root )

The width of the walk is 4.5 ft
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check:

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