Question

In given figure $△$ ABC and $△$ DEF are similar, BC=4cm, EF=5cm, and area of triangle ABC=32$c{m}^2$ find the area of $△$ DEF

• A. $96c{m}^2$
• B. $50c{m}^2$
• C. $60c{m}^2$
• D. $40c{m}^2$

Answer 1

The correct option is B

$50c{m}^2$

We know that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

So $\frac{16}{25}$ =$\frac{32}{areaof△DEF}$

area of $△$ DEF = $50c{m}^2$