Question

There is a narrow rectangular plot,reserved for a school,in mahuli village.the length and breadth of the plot are in the ratio 11:4.At the rate rupees 100 per metre it will cost the village panchayat rupees 75000 to fence the plot.what are the dimensions of the plot?

Answer 1

There is a narrow rectangular plot, reserved for a school, in mahuli village. the length and breadth of the plot are in the ratio 11:4. 

let the common multiple be x 

the length will be 11x 

breadth = 4x 

Perimeter = 2( L + B ) 

=2(11x+4x) 
= 2*15x
=30x 

At the rate Rs 100 per meter 

30x * 100 = 3000x 
3000x= 75000 
3x=75 
x=25 

11x = 11*25 = 275m 
4x=4*25 = 100 m 

275m & 100m are the dimensions of the Plot

Answer 2

> the length and breadth of the plot are in the ratio 11:4. 

the length will be 11x 

breadth = 4x 

Perimeter = 2( L + B ) 

                 =2(11x+4x) 

                 = 2*15x

                 =30x 

> At the rate Rs 100 per meter :-

30x * 100 = 3000x 

3000x= 75000 

3x=75 

x=25 

11x = 11*25 = 275m 

4x=4*25 = 100 m 

> 275m & 100m are the dimensions of the plot