Given : $$ riangle XYZ sim riangle PQR$$ and XY:PQ=5:1 To find : ar($$ riangle$$ XYZ) = $$x$$ = ? Solution : Ratio of areas of two similar triangles is equal to the ratio of square of the corresponding sides. => $$frac{ar( riangle XYZ)}{ar( riangle PQR)}=(frac{XY}{PQ})^2$$ => $$frac{x}{5}=(frac{5}{1})^2$$ => $$frac{x}{5}=frac{25}{1}$$ => $$x=25 imes5=125$$ $$cm^2$$ => Ans - (A)