Instructions: The polygons in each pair are similar. Find the missing side length.3232?154040

Given:
Find-:
The proportion and value of x
Explanation-:
The proportion is:
[tex]\frac{x}{15}=\frac{32}{40}=\frac{32}{40}[/tex]Because of side ratio is:
[tex]\frac{CD}{C^{\prime}B^{\prime}}=\frac{AB}{A^{\prime}B^{\prime}}=\frac{AD}{A^{\prime}D^{\prime}}[/tex]So, the value of x is:
[tex]\begin{gathered} \frac{x}{15}=\frac{32}{40} \\ \\ x=\frac{32}{40}\times15 \\ \\ x=\frac{480}{40} \\ \\ x=\frac{48}{4} \\ \\ x=12 \end{gathered}[/tex]The value of "x" is 12.