the base of triangular field is three times its height if the cost cultivating the field at 36
Answers
Let the altitude of the triangle be x.
Then the base of the triangular field is 3x.
We know that Area of the triangle = 1/2 * b * h
= 1/2 * 3x * x
= 3x^2/2.
Given that the cost of cultivating the field at 36 per hectare = 36 * 3x^2/2
= 54x^2/2.
54x^2 = 486
x^2 = 486/54
x^2 = 9 * 10000
x = 300
if the altitude is 300 then the base is 3 * 300 = 900.
Therefore the base = 900m.
the height = 300m.
Hope this helps!
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
