Question

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

Answer 1

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