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

find each pair of similar figures.use the given areas to find each scale factor of-example-1
User Onlyphantom
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1 Answer

21 votes
21 votes

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

User TiernanO
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