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Time to paint the living room. The room measures 20 feet wide by 30 feet long by 12
feet high. There are two doors, 7 feet high by 3 feet wide, and four windows, each 4 feet
high by 3 feet wide. I'm going to paint the walls and ceiling with two coats of paint at 25
cents per square foot. What will it cost?

Sagot :

facundo3141592

The cost to paint the walls and the ceiling is $855

How much will it cost?

First, we need to find the area that will be painted.

The area of two of the walls is:

A = 20ft*12ft = 240ft²

The area of the other two walls:

A' = 30ft*12ft = 360ft²

The area of the ceiling is:

A'' = 20ft*30ft = 600ft²

We also need to subtract the areas of the two doors and the 4 windows.

Each door is 7ft by 3ft, so the area of each door is:

a = 7ft*3ft = 21ft²

Each window is 4ft by 3ft:

a' = 4ft*3ft = 12ft²

Then the total area that will be painted is:

area = 2A + 2A' + A - 2a - 4a'

area = 2*( 240ft²) + 2*(360ft²) + 600ft² - 2*(21ft²) - 4*(12ft²)

area = 1,710 ft²

We know that we need two coats of paint to cover that area, and the cost per square foot of paint is $0.25, then the total cost is:

C = $0.25*2*(1,710) = $855

The cost to paint the walls and the ceiling is $855

If you want to learn more about areas:

https://brainly.com/question/24487155

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