Tick the correct answer and justify: Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio
(A) 2:3  (B) 4:9 (C) 81:16 (D) 16:81

Explanation

To solve the problem, we need to find the ratio of the areas of two similar triangles given that the ratio of their corresponding sides is 4:9.

### Step-by-Step Solution:

1. **Identify the Ratio of Sides**:
We are given that the sides of two similar triangles are in the ratio 4:9.
Let the sides of the triangles be represented as S1 and S2.
Thus, \( S1 : S2 = 4 : 9 \).
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