Question

the base of a triangular field is 3 times its altitude. if the cist of levelling the field is 30.50 rupees per sq.m is rupees 7350 find its base and height

Answer 1

7350/30.50=240.98
240.98 is the area of the field
Area of a triangle is 1/2*base *hight
The base is thrice the hight
Therefore height = x
And base is 3x
Therefore area = 1/2*3x*x
Therefore
1/2*3x*x=240.98
1/2*3x square =240.98
3x square =240.98*2/1
3x square =481.96
3x=root under 481.96
3x=21.95
Therefore
X=21.95/3
Therefore
X=7.31
Therefore
3x=21.95
Therefore we come to know that base =21.95 and hight = 7.31