Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-1 Simplifying Rational Expressions - Lesson Check - Page 667: 3


When x does not equal -2, l = 4x.

Work Step by Step

We are told that the area of the two rectangles is the same. This means we can set their areas equal to each other. 2x $\times$ (2x+4) = (x+2) $\times$ l We then divide both sides by (x + 2) to get a rational expression. l = (2x $\times$ (2x + 4)) $\div$ (x + 2) We can then divide the top and bottom of the rational expression by (x + 2) to get l = 4x. We have to exclude x = -2 because if x equals -2, the denominator of the original rational expression would be 0, which is not correct. l = 2x $\times$ 2 = 4x when x does not equal -2.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.