The image contains a mathematical problem written in Bengali. Let me translate and solve it for you step by step:

Problem Breakdown:

1. A rectangular field has its length 2 meters greater than its breadth, and its perimeter is 68 meters.
   • a) Determine the dimensions (length and breadth) of the field.
   • b) If the cost of fencing the field is 20 taka per meter, calculate the total fencing cost.

Solution:

Part (a): Dimensions of the Field

1. Let the breadth of the field be x meters.

   • Then, the length will be (x + 2) meters.

2. The formula for the perimeter of a rectangle is: $\text{Perimeter} = 2 \times (\text{Length} + \text{Breadth})$ Substituting the given perimeter (68 meters): $68 = 2 \times \left( x + (x + 2) \right)$

3. Simplify the equation: $68 = 2 \times (2x + 2)$ $68 = 4x + 4$

4. Solve for x: $4x = 68 - 4$ $4x = 64$ $x = 16$

5. So, the breadth is 16 meters, and the length is: $x + 2 = 16 + 2 = 18 \text{ meters}.$

Part (b): Cost of Fencing

1. Total length of the fence is the perimeter, which is 68 meters.
2. Cost of fencing per meter = 20 taka.
3. Total cost of fencing: $\text{Total cost} = \text{Perimeter} \times \text{Cost per meter}$ $\text{Total cost} = 68 \times 20 = 1360 \text{ taka}.$

Final