# The length of a rectangular floor is 2 feet more than its width. The area of the floor is 168 square feet. Kim wants to use a rug in the middle of the room and leave a 2-foot border of the floor visible on all sides. What should the width (the shorter side) of the rug be?

1 answer

###### Question:

The length of a rectangular floor is 2 feet more than its width. The area of the floor is 168 square feet. Kim wants to use a rug in the middle of the room and leave a 2-foot border of the floor visible on all sides. What should the width (the shorter side) of the rug be?

## Answers

let width of the floor be x feet, them area isx(x+2) = 168x^2 + 2x - 168 = 0(x - 12)(x + 14) - 0so x = 12the floor is 12 ft by 10 ftthe width of the rug should be 10 - 2(2) = 6 feet

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