In given figure △ ABC and △ DEF are similar, BC=3cm, EF=4cm, and area of t

Question

In given figure $△$ ABC and $△$ DEF are similar, BC=3cm, EF=4cm, and area of triangle ABC=54 $c m^{2}$ find the area of $△$ DEF

c m^{2}

Options:

Answer: Option A
:

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 $\frac{9}{16}$ = $\frac{54}{a r e a o f △ D E F}$

area of $△$ DEF = 96 $c m^{2}$

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