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

Answer:

$(15 + 2x)(20 + 2x)$

Step-by-step 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: $(15 + 2x)(20 + 2x)$