Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 5 - Section 5.2 - Similar Polygons - Exercises - Page 224: 26

Answer

The longest side of $WXYZ=11.2$.

Work Step by Step

Since quadrilateral $MNPQ\sim WXYZ$, corresponding sides are proportional. $\frac{PQ}{YZ}=\frac{5}{7}$ The ratio of the sides is 5:7. Therefore... $\frac{5}{7}=\frac{8}{x}$ ...with $x$ representing the unknown side length. Cross multiply... $5x=56$ Divide by 5... $x=11.2$ The longest side of $WXYZ=11.2$.
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.