1. Stating the problem: A farmer has a rectangular field with length $230$ m and breadth $160$ m, and he wants to fence it with 3 rounds of rope. 2. First, calculate the perimeter of the rectangular field. The perimeter $P$ of a rectangle is given by the formula: $$ P = 2(\text{length} + \text{breadth}) $$ Substitute length = $230$ m and breadth = $160$ m: $$ P = 2(230 + 160) = 2(390) = 780 \text{ meters} $$ 3. Since the farmer wants 3 rounds of rope, the total length of rope needed is: $$ \text{Total rope length} = 3 \times P = 3 \times 780 = 2340 \text{ meters} $$ Final answer: The total length of rope needed is $2340$ meters.