# Sides of two similar triangles are in the ratio 4 : 9. Area of these triangles are in the ratio (a) 2 : 3 (b) 4 : 9 (c) 81 : 16 (d) 16 : 81

## Solution :

Since the ration of the areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides, therefore

ratio of areas = $$(4)^2$$ : $$(9)^2$$ = 16 : 81

$$\therefore$$  (d) is the correct answer,