Question

Construction workers are installing a rectangular, in-ground pool. To start, they dig a rectangular hole in the ground where the pool will be. The area of the ground that they will be digging up is 252 square feet. The length of the pool is twice the width of the pool. What are the dimensions of the pool? Round to the nearest tenth

Answer 1

Length (L) = 2 · W
Width (W) = W
Area (A) = L · W
       252 = (2W)(W)
       252 = 2W²
       126 = W²
       11.2 ≈ W
L = 2 · W
   = 2 · 11.2
   = 22.4

Dimensions: 11.2 ft x 22.4 ft