Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.1 - Addition and Subtraction of Polynomials - Problem Set 5.1: 75

Answer

We can represent the perimeter of the rectangle by 8x + 6.

Work Step by Step

The formula for the perimeter of a rectangle is 2a + 2b, where a and b are the rectangle's length and width. By looking at the figure, we can see that: a = 3x + 5 b = x - 2 So, we substitute these values into the formula to obtain: Perimeter of the rectangle = 2 $\times$ (3x + 5) + 2 $\times$ (x - 2) Use the distributive property. Perimeter of the rectangle = 6x + 10 + 2x - 4 Group similar terms. Perimeter of the rectangle = (6x + 2x) + (10 - 4) Simplify. Perimeter of the rectangle = 8x + 6 We can represent the perimeter of the rectangle by 8x + 6.
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.