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    Question

    If the area of a rhombus is 18954 m² and the ratio of

    the diagonals is 27: 39, then find the length of the shorter diagonal.
    A 152m Correct Answer Incorrect Answer
    B 147m Correct Answer Incorrect Answer
    C 162m Correct Answer Incorrect Answer
    D 174m Correct Answer Incorrect Answer

    Solution

    Given- An Area of rhombus = 18954m² The ratio of diagonals = 27:39 Let the diagonals be 27x and 39x. Now –Area of rhombus = (d1×d2)/2 18954= (27x ×39x) /2 x² = (18954×2)/ (27×39) = 18×2=36 =36 X=6 The shorter diagonal is = 27×6 = 162meter

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