Width of a path surrounding a pool

Question

a pool measuring 14 meters by 22 meters is surrounded by a path of uniform width. if the area of the pool and the path combined is 1008 square meters, what is the width of the path?

Answer 1

14 by 22 has area = 308

1008 = (14+2x)(22+2x) = 308 + 72x + 4x^2

4x^2 +72x +308 -1008 = 0

4x^2 +72x - 700 = 0

x^2 + 18x - 175 = 0

factor

(x-7)(x+ 25)= 0

x =7 meters = width of the path

(14+14)(22+14) = 28(36) = 1008