Question

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

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

Answer 1

The correct option is D $16:81$

Ratio of the areas of the triangles $={\left(\text{Ratio of corresponding sides}\right)}^2$
Ratio of areas of triangles $={\left(\frac{4}{9}\right)}^2=\frac{16}{81}$

Hence, option $D.$