Explanation:

- The perimeter of the triangle is given as 67 cm.

- Let the second side be denoted as \(x\).

- The first side is twice the length of the second side, so it is \(2x\).

- The third side is 11 cm more than the second side, so it is \(x + 11\).

- Adding up all sides, the equation is: \(x + 2x + (x + 11) = 67\).

- Simplifying, we get: \(4x + 11 = 67\).

- Solve for \(x\): \(4x = 67 - 11\), so \(4x = 56\).

- Therefore, \(x = 14\).

? Option 2: 14 cm is the correct answer.