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A pool measuring 18 meters by 22

meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 1152

square​ meters, what is the width of the​ path?

 Feb 3, 2020
 #1
avatar+8 
+1

I think the answer might be 9.45 meters. If I was correct I can explain how I got it. If not, then I wish you good luck.

 Feb 3, 2020
edited by TheHermitcraft  Feb 3, 2020
 #2
avatar+21931 
+2

18 x 22 = 396 m^2     1152 -396 = 756 m^2

 

 

the rest is walkway    2 segments   22 * x    + 2 segments  18 *x    + four corners    4 * x * x

 

2 * 22x     + 2 * 18x     + 4x^2 = 756

4x^2 +80x - 756 = 0       Quadratic Formula yields   x = 7  or   -27 (throw out)

 

 Width = 7 m

 Feb 3, 2020

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