SOLUTION: Cynthia Besch wants to buy a rug for a room that is 22 ft wide and 27 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 266 squ

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Cynthia Besch wants to buy a rug for a room that is 22 ft wide and 27 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 266 squ      Log On


   



Question 1048406: Cynthia Besch wants to buy a rug for a room that is
22
ft wide and
27
ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy
266
square feet of carpeting. What dimensions should the rug​ have?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Cynthia Besch wants to buy a rug for a room that is 22 ft wide and 27 ft long.
She wants to leave a uniform strip of floor around the rug.
She can afford to buy 266 square feet of carpeting. What dimensions should the rug​ have?
~~~~~~~~~~~~~~~~~~~~~

(27-2x)*(22-2x) = 266,

where x is the wide of the uniform strip.

Simplify:

4x%5E2+-+98x+%2B+594 = 266,  or

4x%5E2+-+98x+%2B+328 = 0.

Solve this quadratic equation. Use the quadratic formula.

Then find the dimensions 27-2x (length) and 22-2x (width).