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    Question

    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?
    A 64 : 9 Correct Answer Incorrect Answer
    B 54 : 9 Correct Answer Incorrect Answer
    C 64 : 7 Correct Answer Incorrect Answer
    D 54 : 7 Correct Answer Incorrect Answer

    Solution

    Perimeter ratio (ABC:DEF) = 24:9 = 8:3 ⇒ Side ratio (ABC:DEF) = 8:3 ⇒ Area ratio = (8:3)² = 64:9

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