help me solve this word problem

Question

A rectangular swimming pool measures 30 feet by 70 feet and contains a path of uniform width around the four edges . the perimeter of the rectangle formed by the pool and the surrounding path is 224 feet.what is the width of the path?

Answer 1

Let x = the width of the path

The length of the pool and the path = 70 + 2x

The width of the pool and the path = 30 + 2x

P = 2L+2w

224 = 2(70+2x) + 2(30+2x)

224 = 140 + 4x + 60 + 4x

224 = 200 + 8x

  24 = 8x

  3 feet = x