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

Answer:

$A=2 {w}^{2}+12w+16\: square\:feet$

Step-by-step 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

$A = Length\times Width$

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

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

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

$A=2 {w}^{2} +4w+8w+16$

$A=2 {w}^{2}+12w+16$