https://file.aiquickdraw.com/mathbot/file/1724820641324fj2vk0h9.jpg

To find the perimeter of the shape shown in the image, let's break down the shape and add up the lengths of its outer sides.

### Shape Breakdown:
The shape is composed of a series of connected rectangles. The dimensions provided are:
- Vertical sides: 3 meters, 8 meters, and 5 meters.
- Horizontal sides: 5 meters, 10 meters, and an unlabeled section in the middle.

### Steps to Find the Perimeter:
1. **Identify the lengths of all outer sides:**
   - The left vertical side consists of two segments: 3 meters and 5 meters, totaling \(3 + 5 = 8\) meters.
   - The right vertical side is 8 meters.
   - The bottom side is labeled as 10 meters.
   - The top side consists of two segments: 5 meters and an unlabeled middle section. Since the total horizontal length should match the bottom, the middle section is \(10 - 5 = 5\) meters.

2. **Add up the lengths of all outer sides:**
   - The perimeter is the sum of all the outer sides:
     - Left side: \(8\) meters
     - Right side: \(8\) meters
     - Top side: \(5 + 5 = 10\) meters
     - Bottom side: \(10\) meters

\[
\text{Perimeter} = 8 + 8 + 10 + 10 = 36 \text{ meters}
\]

### Summary:
- **Perimeter of the shape:** \( \boxed{36 \text{ meters}} \)

Would you like more details or have any questions about this solution?

Here are five related questions to deepen your understanding:
1. How would the perimeter change if the bottom side were extended by 2 meters?
2. What if the 5-meter middle section on top was reduced to 3 meters—how would that affect the perimeter?
3. Could the shape be rearranged to form a rectangle with the same perimeter?
4. How would the perimeter be affected if one of the vertical sides was doubled?
5. What is the perimeter if the shape is mirrored along its vertical axis?

**Tip:** Always ensure that all side lengths are included when calculating the perimeter, especially in composite shapes with multiple sections.

Learn how to calculate the perimeter of a complex shape composed of connected rectangles. This problem involves identifying and summing the lengths of all outer sides. Suitable for students in Grades 6-8.

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