SOLUTION: My problem is as follows, a swimming pool 6 meters wide and 10 meters long is to be surrounded by a walk of uniform width. The area of the walk happens to equal the area of the po

Question 389785: My problem is as follows, a swimming pool 6 meters wide and 10 meters long is to be surrounded by a walk of uniform width. The area of the walk happens to equal the area of the pool. What is the with of the walk?
Found 2 solutions by scott8148, josmiceli:
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the width of the walk is added to both ends of the length and width of the pool
this makes the dimensions of the pool/walk 6+2w by 10+2w
the area is twice the area of the pool ___ a = 6 * 10 * 2 = 120

(6 + 2w)(10 + 2w) = 120

4w^2 + 32w + 60 = 120

w^2 + 8w - 15 = 0

use quadratic formula to find w
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the width of the walk
The area of the swimming pool is m2
The walk has the same area
Therefore the area of the pool plus the area of the walk
is m2
Each side of the pool is increased by

The width of the walk is 1.568 m
check answer:

close enough

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