Question

If the sides of two similar triangles are in the ratio of 4 : 9, then the areas of these triangles are in the ratio ____.

• A. 2 : 3
• B. 4 : 9
• C. 81 : 16
• D. 16 : 81

Answer 1

The correct option is D

16 : 81

We know that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
Given, the sides of two triangles are in the ratio of 4 : 9.
Therefore, the ratio of areas of these triangles is equal to $(\frac{4}{9}{)}^2$, which is, $\frac{16}{81}$.