The length And breadth of a rectangular piece of land are in the ratio 5:3. If the total cost of fencing it at rs 24 per meter is rs 9600, find its length and breadth.
Total cost of fencing = Rs.9600
Rate of fencing = Rs.24
Then, perimeter of field = Cost/Rate = 9600/24 = 400mts
Let the length and breadth of the rectangular field be 5x and 3x
Then perimeter= 2(l+b)
= 2(5x+3x)
= 2*8x = 16x
But the perimeter of the given field is 400 m
So, 16x = 400
x = 400/16 = 25
Length of the field = 5*25mts = 125mts
Breadth of the field = 3*25mts = 75mts