Answer:
The area of the pool and deck is equal to
[tex]A=(4w+12)(w+12)[/tex] or [tex]A=4w^{2} +60w+144[/tex]
Step-by-step explanation:
Let
L------> the length of the rectangular swimming pool
w------> the width of the rectangular swimming pool
we know that
[tex]L=4w[/tex] ------> equation A
The area of the pool and deck is equal to
[tex]A=(L+6+6)(w+6+6)[/tex]
[tex]A=(L+12)(w+12)[/tex] ------> equation B
substitute equation A in equation B
[tex]A=(4w+12)(w+12)[/tex]
[tex]A=(4w+12)(w+12)\\ \\A=4w^{2} +48w+12w+144\\ \\A=4w^{2}+60w+144[/tex]
