Question

The Santori family built a rectangular swimming pool in their backyard. The length of the pool is the 4 times the width. A cement deck 6 feet wide is around the pool. Write an expression for the area of the pool and deck.

Answer 1

The area of the pool and deck is equal to

`A=(4w+12)(w+12)` or
`A=4w^(2) +60w+144`

Explanation:

Let

L------> the length of the rectangular swimming pool

w------> the width of the rectangular swimming pool

we know that

`L=4w` ------> equation A

The area of the pool and deck is equal to

`A=(L+6+6)(w+6+6)`

`A=(L+12)(w+12)` ------> equation B

substitute equation A in equation B

`A=(4w+12)(w+12)`

`A=(4w+12)(w+12)\\ \\A=4w^(2) +48w+12w+144\\ \\A=4w^(2)+60w+144`