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.