Question

A rectangular swimming pool has a length twice as long as its width. The pool has a sidewalk around it that is 2 feet wide. Write an expression that would help you find the area of the pool and its sidewalk.

Answer 1

`A=2 {w}^(2)+12w+16\: square\:feet`

Explanation:

The width(W) of the pool

`= w`

This implies that, the length (L) of the sw

imming pool is

`= (2w)feet`

Also the width of the swimming pool with the sidewalk

`= (w + 4)feet`

And the length of the swimming pool with the sidewalk

`= (2w + 4)feet`

Area of the swimming pool is given by

`A = Length* Width`

Writing expression for the area of swimming pool together with the sidewalk, we obtained

`A=(w+4)(2w+4)`

`A=w(2w+4)+4(2w+4)`

`A=2 {w}^(2) +4w+8w+16`

`A=2 {w}^(2)+12w+16`