Explanation:

- The original rectangle's length and breadth are in a 3:2 ratio. Let length = 3x and breadth = 2x.

- When length is increased by 5 m, the new length = 3x + 5 m.

- The area of the new rectangle is given as 2600 m²:

$$(3x + 5) \times 2x = 2600$$

- Solving for x:

$$(6x^2 + 10x = 2600) \implies (6x^2 + 10x - 2600 = 0)$$

- This simplifies to \(x = 20\) after solving the quadratic equation.

- Original length = \(3 \times 20 = 60\) m and breadth = \(2 \times 20 = 40\) m.

- Perimeter of the original rectangle = \(2 \times (60 + 40) = 200\) m.

- Correct Answer: Option 4 - 200 m

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