1. **State the problem:** We need to find the perimeter of a figure composed of a parallelogram and a semicircle attached on the side of length 8. 2. **Identify the sides:** The parallelogram has sides 8 and 4. The semicircle is formed on the side of length 8, which acts as the diameter of the semicircle. 3. **Formula for perimeter:** The perimeter of the figure is the sum of the parallelogram's three sides (excluding the side where the semicircle is attached) plus the semicircle's curved edge. 4. **Calculate the semicircle's circumference:** The full circle circumference is $$C = 2\pi r$$ where radius $$r = \frac{8}{2} = 4$$. 5. **Calculate semicircle arc length:** $$\text{Arc length} = \pi r = \pi \times 4 = 4\pi$$. 6. **Calculate parallelogram sides contributing to perimeter:** The parallelogram has two sides of length 4 and one side of length 8 (excluding the side with the semicircle). 7. **Sum the perimeter:** $$P = 4 + 4 + 8 + 4\pi = 16 + 4\pi$$. 8. **Approximate the value:** Using $$\pi \approx 3.1416$$, $$P \approx 16 + 4 \times 3.1416 = 16 + 12.5664 = 28.5664$$. 9. **Round to the nearest tenth:** $$28.6$$. **Final answer:** The perimeter of the figure is approximately **28.6** units.