https://file.aiquickdraw.com/mathbot/file/1726152344139qxml6q53.jpg

To calculate the perimeter of the given figure, let's break down the shape based on the dimensions provided:

### Description of the Shape
The figure is a stepped or "L"-shaped figure with various lengths marked. The sides are as follows:

1. The left vertical side is **40 mm**.
2. The top horizontal side is **10 mm**.
3. The next vertical side down from the top is **20 mm**.
4. The horizontal side next to that is also **10 mm**.
5. The final vertical drop to the bottom is **10 mm**.
6. The bottom horizontal side is **35 mm**.
7. The middle vertical drop is **10 mm**.

### Calculation of the Perimeter
To calculate the perimeter, sum the lengths of all outer sides:

1. Left vertical side: \( 40 \text{ mm} \)
2. Top horizontal side: \( 10 \text{ mm} \)
3. Vertical side down: \( 20 \text{ mm} \)
4. Horizontal side across: \( 10 \text{ mm} \)
5. Vertical drop down: \( 10 \text{ mm} \)
6. Bottom horizontal side: \( 35 \text{ mm} \)
7. Middle vertical side: \( 10 \text{ mm} \)

So, the perimeter \( P \) is calculated as follows:

\[
P = 40 + 10 + 20 + 10 + 10 + 35 + 10 = 135 \text{ mm}
\]

### Final Answer
The perimeter of the figure is **135 mm**.

Would you like further details or have any questions?

Here are some related questions:
1. How would the perimeter change if one of the side lengths increased?
2. Can the perimeter be calculated differently if the figure were rotated?
3. How would the perimeter change if the shape were scaled up by a factor of 2?
4. What would happen to the perimeter if the horizontal or vertical sides were reduced by half?
5. How does the perimeter of this L-shape compare to a rectangle with the same area?

**Tip:** To confirm the perimeter, it's helpful to mark each side you've accounted for on the diagram as you calculate the total.

Calculate the perimeter of the following figure.

Learn how to calculate the perimeter of an L-shaped figure with given dimensions. This example involves adding the lengths of the outer sides of the figure, suitable for students in Grades 6-8. The final perimeter is 135 mm.

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