the base of a triangular field is 3 times of its height. if the cost of cultivating the field at ₹36 per hectare is is ₹486 find its base and height ( 1 hectare=10000 m²)
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area of triangle = 1/2×base×height.
1/2*x*3x
= 3/2x²
1 hectare = 10,000 sq. meter
the rate of cultivating the field = rs. 36
total cost = rs. 486.
total cost = area of the triangular field × rs. 36
3/2x² × 36/10,000 = 486.
x² =
x² = 90000 m²
x = 300 m
height of the triangular field = x = 300 m
base of the triangle field = 3x = 3*300 = 900m
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