Question

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)​

Answer 1

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