Question

The base of triangular field is 3 times its altitude .If the cost of levelling the field at rs 30.50 per sq.m is rs 7350 , find it's base and height.

Please solve it

Answer 1

We know the area of a triangle =  x (base) x (altitude)Let the altitude of the triangle = atherefore, base length = 3a=> area, A =  x 3a x a=>  sq.metre
Price of levelling the field of area A = A x 30.50Given : 30.50 A = 7350            => A = 240.98 sq.metre
Therefore,                   =>  a = 12.67 metreHence, altitude length = 12.67 metre , and base length = 38.01 metre