SOLUTION: A rectangular swimming pool is surrounded by a walk. The area of the pool is 323 sq ft, and the outside dimensions of the walk are 20x22 ft. How wide is the walk? I know this sh

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Question 167432: A rectangular swimming pool is surrounded by a walk. The area of the pool is 323 sq ft, and the outside dimensions of the walk are 20x22 ft. How wide is the walk?
I know this should be simple, but I'm struggling with it!
Thank you so much for your help, what ever kind person answers my question!
Lauren

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
the walk is on all four sides of the pool, so the dimensions of the pool are 20-2w and 22-2w
__ where w is the width of the walk

(20-2w)(22-2w)=323 __ 440-84w+4w^2=323 __ 4w^2-84w+117=0

use quadratic formula to find w




answer below


w=1.5

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