### Home > GC > Chapter 3 > Lesson 3.2.2 > Problem3-59

3-59.

Solve for the missing lengths in the sets of similar figures below. You may want to set up tables to help you write equations.

1. $ABCD\sim JKLM$

 vertex$A$ top edge$12$ vertex$B$ left edge$6$ interior rectangle$\space$ vertex$D$ vertex$C$
 vertex$J$ top edge$x$ vertex$K$ left edge$10$ interior rectangle$\space$ vertex$M$ vertex$L$

If each pair of shapes is similar, then $\frac{6}{12}=\frac{10}{x}$ and $\frac{39}{w}=\frac{3}{7}$.

Start to solve for each variable by multiplying both sides of the equation by the lowest common denominator.

2. $ΔNOP\sim∆XYZ$
$w=91$