Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Review Exercises - Page 401: 91

Answer

(a.) $2xy+2y^2$. (b.) $2y(x+y)$.

Work Step by Step

In the given figure, there are two rectangle and two squares. Area of the rectangle is $length \times width$. Length of the rectangle is $x$. Width of the rectangle is $y$. Area of the rectangle is $x\times y = xy$ Area of two rectangles is $2xy$. Area of the square is $length^2$. Side of the square is $y$. Area of the square is $y^2$. Area of two squares is $2y^2$ (a.) The expression for the area of the shaded blue region is $=2xy+2y^2$. (b.) Factor out $2y$ from both terms. $=2y(x+y)$.
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.