Question

Ratio of two corresponding sides of two similar triangles is $4:9$. Then ratio of their area is ___.

• A. $\frac{16}{81}$
  
• B. $\frac{34}{81}$
  
• C. $\frac{81}{16}$
• D. $Noneofthese$

Answer 1

The correct option is A $\frac{16}{81}$

Ratio of areas of two similar triangles is equal to the squares of the ratio of their sides.

Ratio of sides $=\frac{4}{9}$

Ratio of areas $={\left(\frac{4}{9}\right)}^2=\frac{16}{81}$