Question #158215

The areas of two similar polygons are 72 sq. cm. and 50 sq. cm. A side of the

larger polygon is 4 cm. Find the corresponding side in the smaller polygon.



1
Expert's answer
2021-02-01T08:26:50-0500

If the scale factor of the sides of two similar polygons is kk, then the ratio of the areas is k2k^2 .

In our case k2=7250=1.44.k^2=\frac{72}{50}=1.44.

So, k=1.44=1.2.k=\sqrt{1.44}=1.2.

The corresponding side in the smaller polygon: 41.2=103\frac{4}{1.2}=\frac{10}{3} cm.


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