Question

If $\Delta ABC\sim \Delta DEF$ such that $AB=1.2$ cm and
$DE=1.4$ cm. Find the ratio of of areas of $\Delta ABC$ and $\Delta DEF$

Answer 1

As we know if two $△ABC$ and $△DEF$ are similar-

$\frac{areaof△ABC}{areaof△DEF}=\frac{A{B}^2}{D{E}^2}$

$\frac{areaof△ABC}{areaof△DEF}=\frac{{1.2}^2}{{1.4}^2}$

$\frac{areaof△ABC}{areaof△DEF}=\frac{1.44}{1.96}$

$\frac{areaof△ABC}{areaof△DEF}=\frac{36}{49}$

Hence, ratio of area of $△ABC$ and $△DEF$ is $36:49.$