SOLUTION: Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 31 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 300 square feet of

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Question 1066615: Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 31 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 300 square feet of carpeting. What dimensions should the rug​ have? The dimensions of the rug should be
blank ft.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the width of the border
around the rug. The width and length
both get increased by




Use quadratic formula







( the negative square root works here )


-----------------




and


----------------------------
The dimensions of the rug are 12 x 25
check:

OK

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