Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 5 - Section 5.2 - Similar Polygons - Exercises - Page 236: 26


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 $WXYZ=11.2$.
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