Question

the base of a triangular field is thrree thimes its height if cost of cultivating the field at Rs 1080 per hectar isRs 14580 find its base and height

Answer 1

Given That:
Base of triangular field= 3 x Height of the triangular shape.

Solution:
Since the cost of cultivating is at the rate ₹1080 per hectare and the total cost is ₹14580.

Also since the cost of cultivating = Area of land x Rate of cultivating.
Therefore, 14580 = Area of land x 1080
Therefore, Area of land = 13.50 Hectare
Since 1 hectare = 10000 m^2
Therefore, Area of land = 135000 m^2

Since, also area of land = (1/2) x Base x Height
135000 = (1/2) x 3H x H
Therefore, Height = 300 m
Therefore, Base = 3H = 3 x 300 = 900 m