Question

The base of a triangular field is twice its altitude if the cost of cultivating the field at rupees 14.50 400 metre square is 5 to 200 find its base and altitude​

Answer 1

Let the altitude be x

Then the base = 2x2x

Area of the triangular field= 1212bh = 12×2x×x=x212×2x×x=x2 ---(1)

cost of ploughing the field = Rs.18360

Rate = Rs.216 per hectare

=>Area of the triangular field = 18360216=8518360216=85 hectare = 8,50,000 sq.m ---(2)

From(1) and (2)

x2=8,50,000x2=8,50,000

=>x=921.95x=921.95 meter

height = x=921.95x=921.95 meter

base = 2x=1843.92x=1843.9 meter