To find the perimeter of the figure:

Description of the Shape:

This figure consists of a rectangle flanked by two semicircles. The rectangle's length is 4 inches, and the height (which is also the diameter of the semicircles) is 4 inches.

Step-by-Step Calculation:

1. Perimeter of the Two Semicircles:

   • Together, the two semicircles form a full circle.
   • The diameter of the circle = 4 inches, so the radius $r$ is: $r = \frac{\text{Diameter}}{2} = \frac{4}{2} = 2 \, \text{inches}.$
   • Circumference of the full circle = $2 \pi r$. Substituting $r = 2$ and $\pi = 3.14$: $\text{Circumference} = 2 \cdot 3.14 \cdot 2 = 12.56 \, \text{inches}.$
   • So, the combined perimeter of the semicircles = 12.56 inches.

2. Perimeter of the Rectangle:

   • The rectangle contributes its two horizontal sides, each 4 inches long.
   • Total for the rectangle’s horizontal sides: $4 + 4 = 8 \, \text{inches}.$

3. Total Perimeter: Adding the semicircles' and rectangle's contributions: $\text{Total Perimeter} = 12.56 + 8 = 20.56 \, \text{inches}.$

Final Answer:

The perimeter of the figure is 20.56 inches.

Would you like a breakdown of a specific step? Let me know!

Here are 5 related questions to deepen understanding:

1. How do we calculate the circumference of a circle using its radius?
2. Why does the figure's semicircles form a full circle when combined?
3. What is the formula for the perimeter of a composite shape like this?
4. How would the solution change if the rectangle’s dimensions were different?
5. Can you identify similar composite figures in real-world applications?

Tip: Always verify whether the curves in composite shapes combine to form a full circle or fraction thereof for accurate calculations!