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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 Γ—10000 =135000 square meter Let height = h Then base =3h Area of field = Β½ Γ—hΓ—3h 135000 = Β½ Γ—3h2 h2=90000 h=300meter So now height = 300meter and base = 3Γ—300 = 900meter

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