Question

$△PQR\sim △XYZ,\frac{XY}{PQ}=\frac{3}{2}$ then $\frac{Areaof△PQR}{Areaof△XYZ}=$____.

• A. $\frac{9}{4}$
• B. $\frac{4}{9}$
• C. $\frac{3}{2}$
• D. $\frac{2}{3}$

Answer 1

The correct option is B $\frac{4}{9}$

$\frac{XY}{PQ}=\frac{3}{2}$

$\Rightarrow \frac{PQ}{XY}=\frac{2}{3}$

Now, $\frac{Areaof\Delta PQR}{Areaof\Delta XYZ}={\left(\frac{2}{3}\right)}^2=\frac{4}{9}$