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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 .  900, 300
B .  300, 900
C .  600, 1800
D .  1800, 600
Answer: Option A

Area of the field = Total cost/rate = (333.18/25.6)hectares = 13.5 hectares
(13.5 x 10000) m2 = 135000 m2
Let altitude = x metres and base = 3x metres
(1/2)* 3x * x = 135000 <=> x2 = 90000 <=> x = 300.
Base = 900 m and Altitude = 300 m.



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