Question

the base of a triangular field is 3 times iys height if the cost of cultivating the field at rs 36 per hectare is 486, find it base and height ( 1 hectare = 10000m2)

Answer 1

Soln:-
Area of field =486/36
=13.5 hectare
=13.5×10000 m^2
=135000 m^2
Let the height be x
so base=3x
A/q,
1 /2 ×b×h=135000 m^2
1/2×3x× x=135000 m^2
3x^2/2=135000 m^2
3x^2=270000 m^2
x^2=270000/3
x^2=90000
x=√90000
x=300m

Hence height of the field is 300m
and base=3×300m=900m