SOLUTION: Cynthia Besch wants to buy a rug for a room that is 23 ft wide and 32 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 442 square feet of

Question 1137363: Cynthia Besch wants to buy a rug for a room that is 23 ft wide and 32 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 442 square feet of carpeting. What dimensions should the rug have?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Room area, 23*32
Rug area, (23-2x)(32-2x)
Uniform strip around rug, x
Rug area value will be 442 square feet.

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Algebra steps lead to .
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discriminant is .

--------the uniform width between walls and rug

Rug Dimensions:
17 feet and 26 feet
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