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23 May, 13:56

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?

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  1. 23 May, 15:49
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    Let width of the floor be x feet, them area is

    x (x+2) = 168

    x^2 + 2x - 168 = 0

    (x - 12) (x + 14) - 0

    so x = 12

    the floor is 12 ft by 10 ft

    the width of the rug should be 10 - 2 (2) = 6 feet
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