SOLUTION: A swimming pool that is 8m wide by 10m long is surrounded by a sidewalk of uniform width. The area of the sidewalk is 72m^2 by itself. Find the width of the sidewalk and the outer

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Question 615076: A swimming pool that is 8m wide by 10m long is surrounded by a sidewalk of uniform width. The area of the sidewalk is 72m^2 by itself. Find the width of the sidewalk and the outer dimensions of th sidewalk to the nearest hundredth of a meter
Found 2 solutions by scott8148, josmiceli:
Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website!
(8 + 2w)(10 + 2w) = (8 * 10) + 72 ___ (4 + w)(5 + w) = 76

w^2 + 9w - 56 = 0

use quadratic formula to find w

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
The area of the swimming pool is m2
The area of the walkway is m2
The total area is m2
Let the width of the sidewalk =
The combined width is m
The combined length is m
Now I can say

Use quadratic formula

( can't use the negative square root )

and

and

The width of the walkway is 1.69 m
The dimensions are 11.38 x 13.38 m2
check:

This looks close enough