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.

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

Answer: (A)

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.