Question

find each pair of similar figures.use the given areas to find each scale factor of the similar figures.then find x

Answer 1

We have that both pentagons are similar, then, we can write the following proportions:

`(900)/(21)=(300)/(x)`

doing cross product, we get the following:

`\begin{gathered} (900)/(21)=(300)/(x) \\ \Rightarrow900x=300\cdot21=6300 \\ \Rightarrow x=(6300)/(900)=7 \\ x=7 \end{gathered}`

therefore, x = 7