## Elementary Geometry for College Students (7th Edition)

The longest side of $WXYZ=11.2$.
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 $WXYZ=11.2$.