The problem involves finding the total perimeter of the given figure. Let me break this down:

Step-by-Step Analysis:

1. Shape Overview:

   • The figure consists of two semicircles connected by straight lines. Each semicircle has a diameter of $4 \, \text{cm}$, as indicated by the grid's scale.

2. Straight Edges:

   • There are two horizontal straight-line segments. Each is equal to the radius of the semicircles, which is $\frac{4}{2} = 2 \, \text{cm}$.
   • Total straight-line length: $2 \, \text{cm} + 2 \, \text{cm} = 4 \, \text{cm}$.

3. Curved Edges:

   • The curved part of each semicircle has a length equal to half the circumference of a full circle.
   • Circumference of a full circle: $C = 2\pi r = 2\pi(2) = 4\pi \, \text{cm}$.
   • Length of one semicircle: $\frac{4\pi}{2} = 2\pi \, \text{cm}$.
   • Total length of both semicircles: $2\pi + 2\pi = 4\pi \, \text{cm}$.

4. Total Perimeter:

   • Adding the lengths of the straight edges and the curved edges: $P = 4 \, \text{cm} + 4\pi \, \text{cm}.$ Approximate $\pi$ as $3.14$ for a numerical result: $P \approx 4 + 4(3.14) = 4 + 12.56 = 16.56 \, \text{cm}.$

Final Answer:

The total perimeter of the figure is approximately 16.56 cm.

Would you like a more detailed explanation of any step?

Here are some related questions to explore further:

1. What is the formula for the perimeter of a composite shape?
2. How do you calculate the circumference of a semicircle?
3. What are practical uses of perimeter calculations?
4. How does changing the radius affect the perimeter of a figure like this?
5. How can exact and approximate values of $\pi$ affect calculations?

Tip: Always break down complex figures into simpler components for easier perimeter calculations.