Question

I need to find the values of x and y. The polygons are similar but not drawn to scale.

Answer 1

Since we are told that the polygons are similar, then we will determine the values of x and y as follows:

x:

$\begin{gathered} \frac{x+2}{3}=\frac{10}{2}\Rightarrow\frac{x+2}{3}=5 \\ \\ \Rightarrow x+2=15\Rightarrow x=13 \end{gathered}$

y:

$\begin{gathered} \frac{y-1}{20}=\frac{2}{10}\Rightarrow\frac{y-1}{20}=\frac{1}{5} \\ \\ \Rightarrow y-1=4\Rightarrow y=5 \end{gathered}$

So, the values are x = 13 and y =5. [Option B]