Question

the base of a triangular farm is three times its attitude if the cost of irrigating the farm is rs 6662.60 at the rate of rs 493.60 per hectare find the height and the base of the farm

Answer 1

1 hectare cost = ₹493.60
x hectare cost = ₹6662.60
493.60x = 6662.60
x = 13.40

Area of triangular field = 13.40 hectare²

let altitude of farm be x hectare
then, base of farm = 3x

Now, ar(∆) = 1/2×b×altitude
13.40 = 1/2 × 3x × x
26.8 = 3x²
x² = 26.8/3
√x² = √8.9
x = 2.98

Altitude = x = 2.98 hectare
base = 3x = 3×2.98 = 8.94 hectare