Respuesta :

The solution to the answer is as follows:

sqrt(20/45)

= sqrt(4/9)

= 2/3 (scalar factor of sides, ratio perimeters)

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The scale factor of their corresponding sides is, [tex]\frac{2}{3}[/tex]

The ratio of their perimeters is [tex]\frac{2}{3}[/tex]

Similar triangle:

When two triangles are similar. Then the relation between their area and corresponding sides are shown below;

         [tex]\frac{Area_{1}}{Area_{2}} =\sqrt{\frac{side_{1}}{side_{2}}}[/tex]

It is given that, the areas of two similar figures are [tex]20 cm^{2}[/tex] and [tex]45 cm^{2}[/tex].

Therefore, the scale factor of their corresponding sides is,

                                  [tex]=\sqrt{\frac{20}{45}} =\sqrt{\frac{4}{9} } = \frac{2}{3}[/tex]

the ratio of their perimeters is [tex]\frac{2}{3}[/tex]

Learn more about the similar triangle here:

https://brainly.com/question/14285697