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Monica's rectangular living room is 12 ft by 15 ft she has a square rug that covers 5/9 of the area of the floor. what is the side length of the square rug?

Guest Apr 5, 2017
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The area of the living room = 12 * 15 = 180 square feet

 

The area of the rug is 5/9 of that, so

the area of the rug = 5/9 * 180 = 100 square feet

 

The rug is square, so

the area of the rug = (side length)^2

 

Since we just found out what the area of the rug is, put that value in for the area and solve for the side length.

100 square feet = (side length)^2

 

Take the + square root of both sides.

 

√100 = side length

 

10 feet = side length

hectictar  Apr 5, 2017

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