To solve the problem, we need to find the perimeter of the figure, which includes:

1. Two straight lines on the left side (3 cm and 2 cm).
2. A straight line across the top (5 cm).
3. A semicircular arc on the right side.

Step-by-Step Solution

1. Identify the Straight Segments:

   • The left side has a vertical line of $3 \, \text{cm}$ and a horizontal line of $2 \, \text{cm}$.
   • The top side has a horizontal line of $5 \, \text{cm}$.

   Total length of straight segments: $3 + 2 + 5 = 10 \, \text{cm}$

2. Calculate the Semicircle's Perimeter:

   • The semicircle has a diameter of $3 \, \text{cm}$ (the same as the height on the left).
   • The formula for the circumference of a full circle is $C = \pi d$.
   • For a semicircle, we take half of the circumference: $\text{Semicircular arc} = \frac{\pi \times 3}{2} = \frac{3.14 \times 3}{2} = 4.71 \, \text{cm}$

3. Add Up All Parts: $\text{Perimeter} = 10 + 4.71 = 14.7 \, \text{cm} \quad \text{(rounded to 1 decimal place)}$

Final Answer:

The perimeter of the figure is 14.7 cm.

Would you like more details on any step or have additional questions?

Here are some related questions to deepen your understanding:

1. What is the formula for finding the circumference of a semicircle?
2. How does the diameter relate to the circumference of a circle?
3. Why do we divide by 2 when calculating the perimeter of a semicircle?
4. What would the perimeter be if the figure included a full circle instead of a semicircle?
5. How would the answer change if the dimensions were doubled?

Tip: Remember to use the correct units and round only at the final answer.