Question

The diagram shows two similar polygonsN51P224048MR3016.5SFigures not drawn to scale.What is the length of CS?

Answer 1

Notice the correspondence between the vertices of the polygons:

`VQRGX\approx CNPMS`

Corresponding segments of similar polygons are proportional. Then:

`(CS)/(VX)=(PM)/(RG)`

Substitute VX=48, PM=22 and RG=16.5 and solve for CS:

`\begin{gathered} \Rightarrow(CS)/(48)=(22)/(16.5) \\ \Rightarrow CS=(22)/(16.5)*48 \\ \Rightarrow CS=64 \end{gathered}`

Therefore, the length of CS is 64.