Answer
w=4, l=10
Work Step by Step
We know that the area of a rectangle is given by:
$$A=lw$$
Thus, we find:
$$40=w(w+6) \\ w^2+6w-40=0 \\ w\left(w-4\right)+10\left(w-4\right)=0 \\ \left(w-4\right)\left(w+10\right)=0 \\ w=4 \\ l=4+6=10$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
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
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
