https://file.aiquickdraw.com/mathbot/file/17254330093068dvlzgji.jpg

To find the perimeter of the given shape, we'll add up the lengths of all the sides.

From the image, the shape is a stepped figure with the following dimensions:

- Top horizontal side: \( 27.1 \) cm
- Vertical steps (from top to bottom): \( 3.8 \) cm each (there are 3 vertical steps)
- Horizontal steps: \( 2.31 \) cm each (there are 3 horizontal steps)
- Bottom horizontal side: \( 2.31 \) cm (extending further down after the last step)
- Left vertical side: \( 3.8 \) cm

### Step-by-Step Calculation:

1. **Top horizontal side**: \( 27.1 \) cm
2. **First vertical step**: \( 3.8 \) cm
3. **First horizontal step**: \( 2.31 \) cm
4. **Second vertical step**: \( 3.8 \) cm
5. **Second horizontal step**: \( 2.31 \) cm
6. **Third vertical step**: \( 3.8 \) cm
7. **Third horizontal step**: \( 2.31 \) cm
8. **Bottom horizontal side**: \( 2.31 \) cm (same as the third horizontal step)
9. **Left vertical side**: \( 3.8 \) cm

Now, adding up all these sides:

\[
\text{Perimeter} = 27.1 + 3.8 + 2.31 + 3.8 + 2.31 + 3.8 + 2.31 + 2.31 + 3.8
\]

Let me calculate the total.The perimeter of the given shape is \( 51.54 \) cm.

Would you like further details on the calculation, or do you have any other questions?

Here are five related questions you might find interesting:

1. How would the perimeter change if the dimensions of the steps were doubled?
2. Can you find the area of the shape based on the given dimensions?
3. How does the perimeter of this stepped shape compare to a simple rectangle with the same height and width?
4. If the shape were extended by one more step, what would the new perimeter be?
5. Can this shape be divided into simpler geometric shapes to calculate the area more easily?

**Tip:** When calculating perimeters, always ensure that all the side lengths are accounted for, especially in shapes with multiple steps or corners.

Find the perimeter of the given stepped shape with dimensions in centimeters.

Learn how to find the perimeter of a stepped shape using the sum of all side lengths. The problem involves geometry concepts suitable for Grades 6-8 and includes step-by-step perimeter calculations for each side of the shape.

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