Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height.

    ক)
    B=900;H=300
    খ)
    B=300;H=900
    গ)
    B=600;H=700
    ঘ)
    B=500;H=900

    Explanation

    Area of the field = Total cost/rate = (333.18/25.6) = 13.5 hectares 13.5∗10000m2=135000m213.5\ast10000m^2=135000m^2 Let altitude = x metres  and  base = 3x metres. Then, 12∗3x∗x=135000⇒x2=90000⇒x=300\frac12\ast3x\ast x=135000\Rightarrow x^2=90000\Rightarrow x=300 Base = 900 m and Altitude = 300 m.

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