solve
9. A triangular field is in the shape of an isosceles triangle. The 
attitude and the base are in the ratio 6 : 5. If it costs Rs 5,250 at 
the rate of Rs  350 per hectare to grow some crops in it, find the 
dimensions of the field. 
[Note: 1 Hectare = 10,000 sq m] ​

Given :

Total cost to grow crops = Rs 5250 
Rate per hectare = Rs 350
 
Therefore Area of the field = 5250 / 350 = 15 hectares 

Area of an isoceles triangle =1/2 base * height 

Given:             Base =5x   Altitude = 6x 

therefore Area = 1/2 * ( 6x*5x) = 15 hectares 
                                           15 x^2 = 15 hectares 
                                                x^2= 1 hectare = 10000 sq m 

                                            x= 100 m 

Substituting  x= 100 in base & altitude  we get 


Base = 500 m        Altitude = 600 m