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

Answer:

The area of the pool and deck is equal to

$A=(4w+12)(w+12)$   or  $A=4w^{2} +60w+144$

Step-by-step 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

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

$A=(4w+12)(w+12)\\ \\A=4w^{2} +48w+12w+144\\ \\A=4w^{2}+60w+144$