Explanation:

- The plinth is a rectangle with an area of 200 square meters.

- The ratio of its length to breadth is 2:1.

- Solving this, let length = 2x and breadth = x. Then, 2x * x = 200.

- This equation gives x² = 100, so x = 10 meters.

- Thus, length = 20 meters and breadth = 10 meters.

- When extended by 1 meter on each side, new dimensions are: length = 22 meters, breadth = 12 meters.

- New area = 22 * 12 = 264 square meters.

- Increase in area = 264 - 200 = 64 square meters.

- Percentage increase = (64/200) * 100% = 32%.

The correct answer is Option 2: 32%