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 Rs100per meter it will cost the village panchayat Rs75, 000 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