Respuesta :

We are given two similar quadrilaterals ABCD and WXYZ

Recall that if two quadrilaterals are similar then corresponding sides are in the same proportion.

So we can write,

[tex]\frac{AD}{WZ}=\frac{DC}{ZY}[/tex]

Let us substitute the given values and solve for ZY

[tex]\begin{gathered} \frac{12}{50}=\frac{3}{ZY} \\ ZY\cdot12=50\cdot3 \\ ZY=\frac{50\cdot3}{12} \\ ZY=\frac{150}{12} \\ ZY=12.5 \end{gathered}[/tex]

Therefore, the length of side ZY is 12.5

The correct option is C.