Question

This figure shows two similar polygons; DEFG∼TUVS. Find the value of x.

Answer 1

According to the question, both polygons are similar. It means you can use proportions to find the value of x.

`(DE)/(TU)=(EF)/(UV)`

Replace for the given values in the picture

`\begin{gathered} (x)/(6)=(4)/(12) \\ x=(4)/(12)\cdot6 \\ x=2 \end{gathered}`

x has a value of 2.