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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:

Given Two Similar Figures Find The Scale Factor And The Ratio Of The Perimeters From The SMALL To The BIGR2223M1215E89N6103115109K12LF8GK 4 1P60Scale Factor 06o class=

Answer :

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

[tex]\begin{gathered} \frac{6}{9}=\frac{8}{12}=\frac{10}{15} \\ \frac{2}{3}=\frac{2}{3}=\frac{2}{3} \end{gathered}[/tex]

Hence, the scale factor is,

[tex]\frac{2}{3}[/tex]

Next, to find the ratio of the perimeter.

So, we have

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

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