The ratio of the lengths of two corresponding sides of two similar triangles is 3 : 10. The ratio of the areas of these two triangles, in the order mentioned, is:

Correct option is A

Given:

The ratio of the corresponding sides of two similar triangles is 3 : 10

Formula Used:

Ratio of Areas = $$\left(\frac{\text{Length of corresponding sides of the first triangle}}{\text{Length of corresponding sides of the second triangle}}\right)^2$$​

Solution:

Ratio of Areas = $$\left(\frac{3}{10}\right)^2 = \frac{3^2}{10^2} = 9 : 100$$