Explanation:

- The width of a tennis court for doubles is 10.97 meters, which is option 4.

- Option 1, 13.57 meters, is incorrect. This measurement exceeds the typical width outlined in tennis standards.

- Option 2, 9 meters, is suitable for the singles game, not doubles. In doubles, additional area is included.

- Option 3, 12 meters, surpasses the standard measurements for a doubles court.

- It's crucial for players to be aware of the right dimensions to ensure compliance with official tennis regulations.