If △ABC is similar △DEF such that BC = 3 cm, EF = 4 cm and the area of △ABC = 54 cm2, then the area of △DEF is:
Answer & explanation
Correct answer: option 2
We know that,
The ratio of areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides.
Area(△ABC)/Area(△DEF)=BC2/EF2
= 54/Area(△DEF) = 32/42
= Area(△DEF) = 54×169 = 96cm2