Two triangles are similar and their corresponding sides are in the ratio $3 : 5$ . Find the ratio of the areas of these triangles.

5 : 3

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2 : 4

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9 : 25

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27 : 125

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Solution

The correct option is D $9 : 25$
Ratio of corresponding sides $= 3 : 5$
Ratio of areas of triangles $= {(\frac{3}{5})}^{2} = \frac{9}{25}$

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The areas of two similar triangles are $9 c m^{2} a n d 16 c m^{2}$ respectively . The ratio of their corresponding sides is ____.

4 : 9

9 : 4

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