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?

mharrigan920 Feb 3, 2020

#1**+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.

TheHermitcraft Feb 3, 2020

#2**+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

ElectricPavlov Feb 3, 2020