SOLUTION: Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 27 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 322 square feet of

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Question 1153831: Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 27 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 322 square feet of carpeting. What dimensions should the rug​ have?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
u, the size of uniform strip around the carpet

%2818-2u%29%2827-2u%29=322 and the dimensions are 18-2u and 27-2u.

Note that you may want to look for the two factors of 322 which differ by 9.


Dimensions for the rug:
14 feet and 23 feet



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23 and 14 ?
14=18-2u
14-18=-2u
18-14=2u
4=2u
u=2
Otherwise, 322=2%2A7%2A23=highlight%2814%29%2Ahighlight%2823%29, the two factors of 322 and differ by 9.