Cynthia Besch wants to buy a rug for a room that is 26ft wide and 32ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 616 square feet of carpeting. What dimensions should the rug have?

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Question 1084953: Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 19 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 210 square feet of carpeting. What dimensions should the rug have?

Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!

Let w be the width of the strip. Then the dimensions of the rug would be 19-2w and 18-2w. So:

(19-2w)(18-2w)=210

342-74w+4w²=210

4w²-74w+132=0

(2w-33)(2w-4)=0

w=33/2 or 2

A width of 2 ft for the strip gives rug dimensions of 15 ft. x 14 ft. ☺☺☺

b is the answer that makes most sense

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