Explanation:

- The perimeter of the rectangular field is given as 248 meters.

- If the field's breadth is \(b\), then its length is \(b + 4\) meters.

- Perimeter formula for a rectangle: \(2 \times (\text{length} + \text{breadth}) = 248\).

- This simplifies to \(2 \times (b + b + 4) = 248\).

- Solving this gives \(2 \times (2b + 4) = 248\) or \(4b + 8 = 248\).

- Solving, \(4b = 240\) or \(b = 60\). So, breadth = 60 meters, length = 64 meters.

- Adding a 5-meter-wide path around it increases both dimensions by 10 meters (5 meters each side).

- New dimensions: breadth \(= 70\), length \(= 74\).

- New area including path: \(70 \times 74 = 5180\) square meters.

- Original area of the field: \(60 \times 64 = 3840\) square meters.

- Area of the path: \(5180 - 3840 = 1340\) square meters.

Your final correct statement:

- Correct Answer: Option 1 - 1340 m²