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

Respuesta :

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]

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