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?
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.
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