Question

A deck is being built around a rectangular swimming pool the swimming pool is 20ft * 12ft and the deck has a uniform width of 6 ft what is the area of the deck only

Answer 1

The area of the only deck is 528 ft²

Step-by-step explanation

The length and width of the swimming pool are 20 ft and 12 ft respectively.

So, the area of the swimming pool
`=length*width= (20*12)ft^2= 240 ft^2`

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
`=(20+6*2)ft = 32 ft` and the width of the pool including the deck
`=(12+6*2)ft=24 ft`

Thus, the area of the pool including the deck
`=(32*24)ft^2 = 768 ft^2`

So, the area of the deck only
`=(768-240)ft^2 = 528 ft^2`