Question

A contractor is building a desk around a 15 x 20 rectangular swimming pool. He is going to build a 2-foot desk around the pool.

Answer 1

`(15 + 2x)(20 + 2x)`

Explanation:

Given

`Length= 15`

`Width = 20`

`Deck = x` --- on both sides

Required

An expression for total area of the pool

Because the deck will be on both sides,

the dimension of the pool will be:

`L = Length + 2 * deck` --- Length

`L = 15 + 2x`

`W = Width + 2 * deck` --- Width

`W = 20 + 2x`

The total area of the pool is calculated as:

`Area = Length * Width`

`A = (15 + 2x) * (20 + 2x)`

`A =(15 + 2x)(20 + 2x)`

Hence, the expression is:
`(15 + 2x)(20 + 2x)`