https://file.aiquickdraw.com/mathbot/file/1724101283384tdrslwze.jpg

To find the perimeter of the shape in the image, we need to add up all the external sides.

Here’s what we know from the diagram:

1. **Height on the left:** 120 m
2. **Height on the right (split into two parts):** 45 m (top) + 40 m (middle)
3. **Horizontal lengths:**
   - Top horizontal line: Not explicitly given but equal to the bottom part, so it should be the same as 50 m.
   - Middle horizontal section: 50 m
   - Bottom horizontal section (between the 40 m and the bottom height): Also 50 m.

### Breaking it down step by step:
1. **Left height:** 120 m
2. **Top horizontal section:** 50 m
3. **Right height (split into two):**
   - Top part: 45 m
   - Middle part: 40 m
4. **Middle horizontal section:** 50 m
5. **Bottom horizontal section:** 50 m
6. **Bottom vertical part (below 40 m gap):** The remaining height on the right-hand side is \(120 - 45 - 40 = 35 \) m.

### Now, let's add them all:

- Left height: 120 m
- Top horizontal: 50 m
- Right side heights: \(45 + 40 + 35 = 120\) m
- Horizontal sides: \(50 + 50 + 50 = 150\) m

So, the perimeter is the sum of all these lengths:
\[
120 + 50 + 120 + 150 = 440 \, \text{m}
\]

Thus, the perimeter of the shape is **440 meters**.

Would you like more details, or do you have any questions?

Here are some related questions for further understanding:
1. How would the perimeter change if the shape was scaled up by 10%?
2. What is the difference between calculating the perimeter and the area of this shape?
3. How can you find the area of this irregular shape?
4. What real-world scenarios might require you to calculate the perimeter of such a shape?
5. How would the shape and its perimeter change if the middle section was removed?

**Tip:** Always ensure that all lengths are accounted for, even if they aren't explicitly labeled. Use logic and subtraction when needed.

Learn how to find the perimeter of a shape using detailed calculations. This problem involves calculating the perimeter of an irregular shape with specific dimensions. Follow a step-by-step guide to understand the process. Suitable for high school students and anyone interested in geometry.

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