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

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