SOLUTION: Catrina and Tom want to buy a rug for a room that i s 13 by 20 feet. They want to leave an even strip of flooring uncovered around the edgesof the room, How wide a strip will they

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Question 537689: Catrina and Tom want to buy a rug for a room that i s 13 by 20 feet. They want to leave an even strip of flooring uncovered around the edgesof the room, How wide a strip will they have if they buy a rug with an area of 198 square feet?
Found 2 solutions by CubeyThePenguin, josgarithmetic:
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
198 = 11 * 18

border = 1 foot around the rug

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the width empty around the rug

%2820-2x%29%2813-2x%29=198
simplifies to
2x%5E2-33x%2B31=0

If use general quadratic equation solution formula
x=%2833-sqrt%2833%5E2-4%2A2%2A31%29%29%2F4
x=%2833-29%29%2F4

highlight%28x=1%29