https://file.aiquickdraw.com/mathbot/file/17301657101964v52fkbj.jpg

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?

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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.

Find the perimeter of the figure. Use 3.14 for π. (The figure is not to scale, round to at least 1 decimal place).

Find the perimeter of a figure combining straight segments and a half-circle. This problem involves geometry concepts, perimeter calculation, and the circumference formula using π = 3.14. Ideal for students in Grades 6-8.

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