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.  Choices
A) 100m B) 125m C) 150m D) 278m E) 300m
Sol. Area of the field = Total cost/rate = (333.18/25.6)hectares = 13.5 hectares   (13.5 x 10000) m^2 = 135000 m^2.   Let altitude = x metres and base = 3x metres.   Then, (1/2)* 3x* x = 135000 &lt;=&gt;x^2= 90000 &lt;=&gt;x = 300.   Base = 900 m and Altitude = 300 m.   Ans: 300m
<result>E</result>
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.