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In the diagram, RSTU ~ ABCD. Find the ratio of their perimeter

In the diagram, RSTU ~ ABCD. Find the ratio of their perimeter-example-1
User Aen Tan
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1 Answer

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The ratio of their perimeters is the same ratio between corresponding sides.

Looking at the image, the side ST corresponds to the side BC.

Calculating their ratio, we have:


\begin{gathered} \text{ratio}=(ST)/(BC) \\ \text{ratio}=(12)/(8) \\ \text{ratio}=(3)/(2) \end{gathered}

So the ratio of their perimeters is 3 : 2

User Gunnar Steinn
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