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Divide the area of the room by the area covered by one gallon of paint.
F
We know that the area of Miki's room is x^2+8x+12 square feet, and a gallon of paint is enough to cover an area of x^2+6x+8 square feet. We want to choose the expression that gives the number of gallons of paint Miki will need to buy to paint her room. To do so, we will divide the area of Miki's room by the area covered by one gallon of paint.
Cancel out common factors
Simplify quotient
The number of gallons of paint Miki needs to buy is x+6x+4, which corresponds to answer F.