Subject

    Quantitative Aptitude

    Topic

    Mensuration

    If area of a rhombus is 225 cm2. One of the diagonal is half of the other diagonal. The sum of the diagonals would be:

    ক)
    45 cm
    খ)
    48 cm
    গ)
    36 cm
    ঘ)
    144 cm
    ঙ)
    None of these

    Explanation

    Let first diagonal is x cm, then the other one would be 2x cm ]Now, formula Area of a rhombus = (1/2)×product of its diagonals \eqalign{ & \Rightarrow 225 = \frac{1}{2} \times 2x \times x \cr & \Rightarrow {x^2} = 225c{m^2} \cr & \Rightarrow x = 15cm \cr} Then the diagonals would be 15 cm and 30 cm ∴ Sum of the diagonals = 45 cm

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