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You are resurfacing your backyard pool. The pool is in the shape of a rectangular prism with a length of 20 ft, a width of 10 ft, and a depth of 4 ft. How many square feet of the resurfacing paint will you need?

Respuesta :

calculista

Answer:

[tex]440\ ft^2[/tex]

Step-by-step explanation:

we know that

The area of the backyard pool to be resurfaced is equal to the area of the base plus the area of its four lateral sides.

so

[tex]A=B+PH[/tex]

where

B is the area of the base

P is the perimeter of the base

H is the depth of the pool

Find the area of the base B

[tex]B=(L)(W)[/tex]

substitute the given values

[tex]B=(20)(10)=200\ ft^2[/tex]

Find the perimeter of the base P

[tex]P=2(L+W)[/tex]

substitute the given values

[tex]P=2(20+10)=60\ ft[/tex]

we have

[tex]H=4\ ft[/tex]

Find the area of the backyard pool to be resurfaced

[tex]A=B+PH[/tex]

substitute the values

[tex]A=200+60(4)[/tex]

[tex]A=440\ ft^2[/tex]

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