Question

Given two similar figures, find the scale factor and the ratio of the perimeters from the SMALL to the BIG.R22.23.M1215E89N6103115109K12LF8GK 4 1P60Scale Factor: 0.6oRatio of Perimeters:Scale Factor: 0.67 Ratio of Perimeters:

Answer 1

22.

To find the scale factor and ratio of the perimeter:

From the figure,

The scale factor is, the dimension of the new figure is divided by the dimension of the original figure.

So, we get

`\begin{gathered} (6)/(9)=(8)/(12)=(10)/(15) \\ (2)/(3)=(2)/(3)=(2)/(3) \end{gathered}`

Hence, the scale factor is,

`(2)/(3)`

Next, to find the ratio of the perimeter.

So, we have

`\begin{gathered} (9+12+15)\colon(6+8+10) \\ 36\colon24 \\ 3\colon2 \end{gathered}`

Hence, the ratio of the perimeter is 3:2.