Subject

    Quantitative Aptitude

    Topic

    Mensuration

    The ratio of the area of a square to that of the square drawn on its diagonal as a side is:

    ক)
    1:1
    খ)
    1:2
    গ)
    1:3
    ঘ)
    1:4
    ঙ)
    2:3

    Explanation

    Let the side of square be ‘a’ cm Then its area = a 2 Now diagonal of the square = √2 × side of square = √2a cm Now another square is drawn on the diagonal, so its area = 2a×2a=2a2\sqrt 2 a \times \sqrt 2 a = 2{{\rm{a}}^2} Ratio of areas = a 2 : 2a 2 = 1 : 2

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