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Alexis needs to paint the four exterior walls of a large rectangular barn. The length of the barn is 80 feet, the width is 50 feet, and the height is 30 feet. The paint costs $28 per gallon,and each gallon covers 420 square feet. How much will it cost Alexis to paint the barn? Explain your work.

Verified Answer :

First we need to find the area of the barn's walls.

2 (length x height) + 2 (width x height)
=2 (80x30) + 2 (50x30)
=2 (2400) + 2(1500)
=4800+3000
=7800 ft^2

Now we can find the amount of gallons needed, then the total cost.

7800 ft^2/420 ft^2 
=18.57 gallons
=19 gallons 

19 gallons x $28
=$532

It will cost $532 to paint the barn

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