Question

Given $\Delta ABC\sim \Delta PQR,$ if $\frac{AB}{PQ}=\frac{1}{3},$ then find $\frac{ar\Delta ABC}{ar\Delta PQR}$.

Answer 1

Since,

$\begin{array}{c}\Delta ABC\sim \Delta PQR\\ \frac{AB}{PQ}=\frac{1}{3}\\ \frac{ar\Delta ABC}{ar\Delta PQR}={\left(\frac{AB}{PQ}\right)}^2={\left(\frac{1}{3}\right)}^2=\frac{1}{9}\end{array}$

Hence, this is the answer.