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    Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    If each side of a square is increased by 25%, find the percentage change in its area?

    ক)
    65.25
    খ)
    56.25
    গ)
    65
    ঘ)
    56

    Explanation

    let each side of the square be a , then area = a2a^2 As given that The side is increased by 25%, then New side = 125a/100 = 5a/4 New area = (5a4)2\left(\frac{5a}4\right)^2 Increased area= 25a216−a2\frac{25a^2}{16}-a^2 Increase %= [9a2/16]a2∗100\frac{\left[9a^2/16\right]}{a^2}\ast100 % = 56.25%

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