Subject

    Quantitative Aptitude

    Topic

    Mensuration

    If two opposite sides of a square are increased by 10 cm each, then the sides of previous and new figure are in the ratio of 11:12. What is the area of the original square?

    ক)
    11000 cm2
    খ)
    12100 cm2
    গ)
    22010 cm2
    ঘ)
    44100 cm2
    ঙ)
    None of these

    Explanation

    Let the original side of the square be X cm, then new sides of the new figure would be X cm and X+10 cm. Now, new ratio of the sides = X : X + 10, ⇒ 11 : 12 = X : X + 10, Solving, X = 110 cm. ∴ Side of the original square = 110 cm. ∴ Area of the original square = multiplication of both sides = 110 × 110 = 12100 cm 2 .

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