# The corresponding

Let the smaller triangle be ABC and larger triangle beDEF.

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

i.e. ar(ABC)/ar(DEF) = (AB/DE)2

Substituting the given values, we get

48cm2/ ar(DEF) = (2/3)2

48cm2/ ar(DEF) = 4/9

ar(DEF)= (48 × 9)/4 cm2

ar(DEF) = 108cm2

108cm2

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