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    Question

    The base of a triangular field is 3 times its height. If

    the cost of harvesting this field at the rate of Rs 100 per hectare is Rs 1350, then find its base.
    A 900m Correct Answer Incorrect Answer
    B 750m Correct Answer Incorrect Answer
    C 825m Correct Answer Incorrect Answer
    D 1200m Correct Answer Incorrect Answer

    Solution

    .Area of the triangular field = Total expense / rate = 1350/100 =13.5 hectare =13.5 ×10000 =135000 square meter Let height = h Then base =3h Area of field = ½ ×h×3h 135000 = ½ ×3h2 h2=90000 h=300meter So now height = 300meter and base = 3×300 = 900meter

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