SOLUTION: A gallon of paint will cover approximately 275 square feet. Ifthe master suite is 16.5 feet by 14 feet with 8 foot ceilings,approximately how many gallons of paint would be needed

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Question 909340: A gallon of paint will cover approximately 275 square feet. Ifthe master suite is 16.5 feet by 14 feet with 8 foot ceilings,approximately how many gallons of paint would be needed to paint the room?


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform Rates rule, R*V=A usage rate, volume of paint, area of surface covered.
The units for V are gallons (volume) and units for A are square feet (area).

Question is to find v in rv=a. Variable meanings similar to the basic rule.
The room has six sides to account for area.
a=floor, cieling, two sides, other two sides.
Eight foot cieling part confusing, but seems to mean cieling is 8 feet above the floor.
a=16.5%2A14%2B16.5%2A14%2B2%2A16.5%2A8%2B2%2A14%2A8
a=2%2A16.5%2A14%2B2%2A16.5%2A8%2B2%2A14%2A8
a=2%2816.5%2A14%2B16.5%2A8%2B14%2A8%29
highlight_green%28a=950%29

r = 275 square feet per gallon, given.

rv=a
v=a%2Fr
v=950%2F275
v=38%2F11
highlight%28v=3%265%2F11%29 gallons, or up to but not more than 3%261%2F2 gallons approximately