College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.5 - Applications and Modeling with Quadratic Equations - 1.5 Exercises - Page 119: 21

Answer

The dimensions of the rug are 9ft (width) by 12ft (length).

Work Step by Step

There is 72 square feet available after the carpet is laid down. $$72=24x+2x(15-2x)$$ $$72=24x+30x-4x^2$$ $$4x^2-54x+72=0$$ $$x^2-27x+36=0$$ $$x=12,1.5$$ x=1.5, because one of the dimensions of the room is 12 feet. $$12-2(1.5)=9$$ $$15-2(1.5)=12$$ The dimensions of the rug are 9ft (width) by 12ft (length).
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