Ratio in length and breadth of a rectangular piece of land = 5 : 3
Cost of fencing = ₹ 19,200
and rate = ₹ 48 per m
∴ Perimeter = 19200/48 = 400 m 48
Let length = 5x.
Then breadth = 3x
∴ Perimeter = 2(l + b)
400 = 2(5x + 3x)
400 = 2 x 8x = 16x
∴16x = 400
⇒ x = 400/16 = 25
∴ Length of the land = 5x = 5 x 25 = 125 m and breadth = 3x = 3 x 25 = 75 m