SOLUTION: Cynthia Besch wants to buy a rug for a room that is 26 ft wide and 27 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 420 square feet of

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Question 1085518: Cynthia Besch wants to buy a rug for a room that is 26 ft wide and 27 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 420 square feet of carpeting. What dimensions should the rug​ have?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x, uniform width of floor around rug
Room, 26 feet by 27 feet

Rug area, %2826-2x%29%2827-2x%29=420.
(Note that the two dimensions factors on the left differ by 1 foot.)

(One of the factorizations for 420 is 20%2A21; you could use this, or you could if you want, solve the quadratic equation.)

x=3, the uniform width floor around the rug
Rug dimensions, 20 width, 21 length

Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.
There is entire novel about "Cynthia Besch buying a rug" in this site:


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