Question

The base of a triangular field is twice its altitude. If the cost of ploughing the field at the rate of rupees 3.75 per 100 square metre is Rupees 13500 then the base and the altitude of the field are

Answer 1

Given: b=2h.

Rate of ploughing= Rs 3.75/100m^2

Total amount= 13500

Now area of triangle= (1/2)*b*h =(1/2)*2h*h= h^2

Also, area= total cost /rate per m^2

=13500/0.0375 =360000m^2.

Now h^2=360000

Therefore,h =√360000= 600m

Now,b=2h = 2*600=1200m