Question

A rectangular swimming pool has a length twice as long as it’s 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 it’s sidewalk.

Answer 1

Pool area=Inner rectangle=
`2x^(2)`

Area of walkway=
`12x+16`

Explanation:

Let the width of the rectangular swimming pool be x

so, length will be 2x

Area of walkway = area of outer rectangle - area of inner rectangle

Area of outer rectangle=
`(x+4)*(2x+4)=2x^(2)+12x+16`

Area of inner rectangle=
`x*2x=2x^(2)`

Area of walkway=
`2x^(2)+12x+16-2x^(2)=12x+16`