In given figure △ ABC and △ DEF are similar, BC=3cm, EF=4cm, and area of triangle ABC=54cm2. Find the area of △ DEF. (Note: The given figures are not to scale.)
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, 916=54area of △DEF
area of △DEF=96cm2