The area of the only deck is 528 ft²
Explanation
The length and width of the swimming pool are 20 ft and 12 ft respectively.
So, the area of the swimming pool [tex]=length*width= (20*12)ft^2= 240 ft^2[/tex]
Now a deck is being built around the pool and it has a uniform width of 6 ft.
So, the length of the pool including the deck [tex]=(20+6*2)ft = 32 ft[/tex] and the width of the pool including the deck [tex]=(12+6*2)ft=24 ft[/tex]
Thus, the area of the pool including the deck [tex]=(32*24)ft^2 = 768 ft^2[/tex]
So, the area of the deck only [tex]=(768-240)ft^2 = 528 ft^2[/tex]