The base of a triangular field is three times its altitude If the cost of cultivating the field at R...........

Quantitative Aptitude ( CCS) Mensuration 2D

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.

B=900;H=300

B=300;H=900

B=600;H=700

B=500;H=900

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Explanation:

Area of the field = Total cost/rate = (333.18/25.6) = 13.5 hectares
13.5*10000m^2=135000m^2
Let altitude = x metres and base = 3x metres.
Then, 12*3x*x=135000
⇒x^2=90000⇒x=300
Base = 900 m and Altitude = 300 m.