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# proportion

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I have to paint one side of a wall.  The wall is 12 meters tall and 120 meters long.  Each gallon of paint covers 150 square feet. If a foot is approximately 0.3048 meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall?

Jun 25, 2023

#1
+699
0

I have to paint one side of a wall.  The wall is 12 meters tall and 120 meters long.  Each gallon of paint covers 150 square feet. If a foot is approximately 0.3048 meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall?

You're going to have to convert those meters to square feet,

so I think it's better to do it from the start.  Even though we'll

have fractions to contend with, a calculator makes that easy.

12 m

1 foot is 0.3048 meter, so the height is       –––––––––  =  39.3701 ft

0.3048 m/ft

120 m

1 foot is 0.3048 meter, so the length is       –––––––––  =  393.7007 ft

0.3048 m/ft

Area is height times length     (39.3701 ft)(393.7007 ft)  =  15,500.0359 sq ft

1 gallon will cover 150 sq ft

so divide that into the area               15,500.0359 sq ft

–––––––––––––––  =  103.3335 gallons

150 sq ft/gallon

You can't buy just part of a gallon of paint,

so we have to round that up to whole gallons                       104 gallons

.

Jun 29, 2023