A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 feet wide. The total area of the pool and sidewalk is 160 square feet. Find the dimensions of the pool

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle (), measured in square feet, is determined by the following equations:

(1)

Where:

- Width, measured in feet.

- Length, measured in feet.

If we know that , and , then we get the following second order polynomial:

(1)

And we solve the expression for :

Then, the dimensions of the pool are, respectively:

and

true

explanation: