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  • Question
  • 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.


  • Options
  • A. B=900;H=300
  • B. B=300;H=900
  • C. B=600;H=700
  • D. B=500;H=900

  • Correct Answer
  • B=900;H=300 

    Explanation

    Area of the field = Total cost/rate = (333.18/25.6) = 13.5 hectares
    13 . 5 * 10000 m 2 = 135000 m 2  
    Let altitude = x metres  and  base = 3x metres.
    Then,  1 2 * 3 x * x = 135000 ? x 2 = 90000 ? x = 300  

    Base = 900 m and Altitude = 300 m.


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