To find the perimeter of a rectangle, you can use the formula:
\[ \text{Perimeter} = 2 \times (\text{width} + \text{height}) \]
In this case, the width of the playing card is 6 centimeters and the height is 9 centimeters. Plugging in these values:
\[ \text{Perimeter} = 2 \times (6, \text{cm} + 9, \text{cm}) = 2 \times 15, \text{cm} = 30, \text{cm} \]
Thus, the perimeter of the playing card is 30 centimeters.