Answer :

If the corresponding sides of two similar triangles are in the ratio 2:3, then the ratio of their areas is the square of this ratio, which is 2/3 squared, or 4/9. So, the ratio of their areas is 4:9.

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.

So, if the corresponding sides of the triangles are in the ratio 2:3, then the ratio of their areas is (2/3)^2 = 4/9.