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    Question

    If the area of a rhombus is 14504 m² and the ratio of

    the diagonals is 37:49 then find the length of the shorter diagonal.
    A 196m Correct Answer Incorrect Answer
    B 148m Correct Answer Incorrect Answer
    C 216m Correct Answer Incorrect Answer
    D 146m Correct Answer Incorrect Answer

    Solution

    An area of rhombus = 14504m² The ratio of diagonals = 37:49 Let the diagonals be 37x and 49x. Now –Area of rhombus =(d1×d2)/2 14504= (37x×49x) /2 x² =(14504×2)/(37×49) = 592/37 = 16 X=4 The shorter diagonal is = 37 ×4 = 148meter

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