Question

$△ABC\sim △PQR$.
$\text{If}\frac{AB}{PQ}=\frac{3}{4},$
then the ratio of their areas is .

• A. 9 : 16
• B. 3 : 4
• C. 6 : 8

Answer 1

The correct option is A 9 : 16

We know that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
Therefore,
$\frac{Ar△ABC}{Ar△PQR}=\frac{(3{)}^2}{(4{)}^2}$
$\frac{Ar△ABC}{Ar△PQR}=\frac{9}{16}or,9:16$