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:

78 cm2 96 cm2 66 cm2 44 cm2

96 cm2

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