Answer:
The area of the deck is [tex]576\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of the deck is equal to the area of the larger rectangle (pool plus deck) minus the area of the pool
see the attached figure to better understand the problem
so
[tex]A=(20+6*2)*(16+6*2)-(20*16)\\A=(32*28)-(20*16)\\A=896-320\\A=576\ ft^{2}[/tex]
