Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - Test: Chapter 5 - Page 371: 24


w=4, l=10

Work Step by Step

We know that the area of a rectangle is given by: $$A=lw$$ Thus, we find: $$40=w(w+6) \\ w^2+6w-40=0 \\ w\left(w-4\right)+10\left(w-4\right)=0 \\ \left(w-4\right)\left(w+10\right)=0 \\ w=4 \\ l=4+6=10$$
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