To find the perimeter of the figure, we need to consider the following components:

1. Straight Segments: The figure has three straight segments with lengths of:

   • $8 \, \text{m}$ (top horizontal segment),
   • $7 \, \text{m}$ (vertical segment),
   • $3 \, \text{m}$ (bottom horizontal segment).

2. Half Circle: The right side of the shape forms a half-circle with a diameter equal to the vertical segment's length, which is $7 \, \text{m}$.

Step-by-Step Solution

1. Calculating the Half-Circle Arc Length

• The diameter of the half-circle is $7 \, \text{m}$.
• Radius, $r = \frac{7}{2} = 3.5 \, \text{m}$.
• The circumference of a full circle would be: $\text{Circumference} = 2 \pi r = 2 \times 3.14 \times 3.5 = 21.98 \, \text{m}$
• Since it’s a half-circle, we divide by 2: $\text{Half-Circle Arc Length} = \frac{21.98}{2} = 10.99 \, \text{m}$

2. Adding Up All Segments

• Sum of the straight segments: $8 + 7 + 3 = 18 \, \text{m}$
• Total perimeter is the sum of all segments: $\text{Perimeter} = 18 + 10.99 = 28.99 \approx 29.0 \, \text{m} \, (\text{rounded to one decimal place})$

Final Answer

The perimeter of the figure is approximately 29.0 meters.

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

Here are 5 related questions you could explore:

1. How would the perimeter change if the diameter of the half-circle were different?
2. How do you calculate the area of a shape with similar characteristics?
3. What if the figure had a full circle instead of a half-circle; how would that affect the perimeter?
4. How does using a different value for $\pi$ (like $3.14159$) impact the accuracy of the result?
5. Could you calculate the perimeter if the half-circle were replaced with a quarter circle?

Tip: For shapes with rounded edges, always identify the radius and circumference carefully to avoid mistakes with partial arcs.