To find the perimeter of the composite figure, we need to add the lengths of all its sides.

Let's identify and add each side:

1. The left vertical side: $14 \, \text{cm}$
2. The top horizontal side: $9 \, \text{cm}$
3. The right vertical side (divided into three segments):
   • Top segment: $4 \, \text{cm}$
   • Middle segment: $6 \, \text{cm}$
   • Bottom segment: $5 \, \text{cm}$
   • Total right side: $4 \, \text{cm} + 6 \, \text{cm} + 5 \, \text{cm} = 15 \, \text{cm}$
4. The bottom horizontal side: $9 \, \text{cm}$
5. The horizontal segments between the vertical sections:
   • Upper middle segment: $6 \, \text{cm}$
   • Lower middle segment: $6 \, \text{cm}$

Adding all these together, the perimeter $P$ is:

$P = 14 \, \text{cm} + 9 \, \text{cm} + 15 \, \text{cm} + 9 \, \text{cm} + 6 \, \text{cm} + 6 \, \text{cm}$

$P = 59 \, \text{cm}$

The perimeter of the composite figure is $59 \, \text{cm}$.

Would you like more details or have any questions about this problem?

Here are 5 related questions to expand your understanding:

1. How would the perimeter change if one of the side lengths increased by 2 cm?
2. What is the area of this composite figure?
3. If the composite figure were scaled down by a factor of 2, what would be the new perimeter?
4. How do you find the perimeter of a composite figure with curved edges?
5. What other methods could be used to verify the perimeter calculation?

Tip: When calculating the perimeter of composite shapes, ensure that every side is accounted for, especially if some sides overlap or are split into segments.