area is 276 square feet. The length of the pool is twice the width What are the dimensions of the pool? Round to the nearest tenth.

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 276 square feet. The length of the pool is twice the width of the pool.

Part 1 out of 2
What are the dimensions of the pool? Round to the nearest tenth.

Answer 1

w=width

2w=length

A=lw

276=2w*w

276=2w^2

138=w^2

√138=√w^2

11.7473=w

w=11.7 feet

2*11.7473=23.4946

l=23.5 feet

11.7 by 23.5 are the dimensions

11.7*23.5=274.95 square feet