The base of a triangular field is twice its height. If the cost of cultivating it at the
rate of Rs.50 per 80m2 is Rs.25000, find the base and height of the field.
Answers
The base of a triangular field is twice its height. If the cost of cultivating it at the rate of Rs.50 per 80m² is Rs.25000, find the base and height of the field.
Step-by-step explanation:
- Given, the cost of cultivating the field at the rate of Rs. 50 per 80m² is
Rs. 25,000.
- So, Area of the field = 25,000 × 80/ 50
= 40,000m²
The formula to calculate the area of the triangular field is,
Area of the triangular field = 1/2 × base × height = 40,000
= 1/2 × (2h) × (h) = 40,000
= 1/2×2h² = 40,000
h² = 40,000 × 2/2
h²= 40,000
h = 200m
Given, base is twice the height:
Base = 2h
= 2 × 200
= 400 m
Therefore the base of the field is 400m and the height of the field is 200m.