Quantitative Aptitude Geometry Triangles, Congruence and Similarity

Given that the perimeters of two similar triangles, ∆ABC and ∆DEF, are 24 cm and 9 cm, respectively, and DE = 3 cm, what is the ratio between the area of ∆ABC and that of ∆DEF?

1

54 : 7

2

64 : 7

3

64 : 9

4

54 : 9

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