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.
Correct Answer: Option A
Area of the field = Total cost/rate = (333.18/25.6) = 13.5 hectares
\(13.5\ast10000m^2=135000m^2\)
Let altitude = x metres and base = 3x metres.
Then, \(\frac12\ast3x\ast x=135000\Rightarrow x^2=90000\Rightarrow x=300\)
Base = 900 m and Altitude = 300 m.
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