The perimeter of a triangle is the sum of the lengths of all three sides. In this case, we are given that one side is 6 cm and another side is 9 cm. We need to determine which of the given options could be the perimeter of the triangle.

To find the possible perimeter values, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's analyze each of the options:

a) 18 cm: To determine if this is a possible perimeter, we need to check if 6 cm + 9 cm > 18 cm. In this case, 6 cm + 9 cm = 15 cm, which is less than 18 cm. Therefore, option a) is not a possible perimeter.

b) 25 cm: We need to check if 6 cm + 9 cm > 25 cm. In this case, 6 cm + 9 cm = 15 cm, which is indeed less than 25 cm. However, we also need to check if the sum of the other two sides is greater than 25 cm. The third side must be between 25 cm - 9 cm = 16 cm and 25 cm - 6 cm = 19 cm. Since this is possible, option b) is a possible perimeter.

c) 30 cm: We need to check if 6 cm + 9 cm > 30 cm. In this case, 6 cm + 9 cm = 15 cm, which is less than 30 cm. Therefore, option c) is not a possible perimeter.

d) 32 cm: We need to check if 6 cm + 9 cm > 32 cm. In this case, 6 cm + 9 cm = 15 cm, which is less than 32 cm. Therefore, option d) is not a possible perimeter.

e) 34 cm: We need to check if 6 cm + 9 cm > 34 cm. In this case, 6 cm + 9 cm = 15 cm, which is less than 34 cm. Therefore, option e) is not a possible perimeter.

Therefore, the correct answer is option b) 25 cm, as it satisfies the triangle inequality theorem.