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laiz [17]
3 years ago
5

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?
Mathematics
1 answer:
zepelin [54]3 years ago
3 0

Answer:

440\ ft^2

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

A=B+PH

where

B is the area of the base

P is the perimeter of the base

H is the depth of the pool

<em>Find the area of the base B</em>

B=(L)(W)

substitute the given values

B=(20)(10)=200\ ft^2

<em>Find the perimeter of the base P</em>

P=2(L+W)

substitute the given values

P=2(20+10)=60\ ft

we have

H=4\ ft

<em>Find the area of the backyard pool to be resurfaced</em>

A=B+PH

substitute the values

A=200+60(4)

A=440\ ft^2

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