https://file.aiquickdraw.com/mathbot/file/1727228403795mk96h6ly.png

The shape provided is an "L-shaped" polygon, and you have the side lengths labeled as follows:

- Vertical height on the left: \( 10.3 \, \text{m} \)
- Top horizontal segment: \( 4.4 \, \text{m} \)
- Right vertical segment: \( 2.4 \, \text{m} \)
- Bottom horizontal segment: \( 12.4 \, \text{m} \)

To calculate the area of this shape, we can break it into two rectangles:

1. **First rectangle (on the left):**  
   Width = \( 4.4 \, \text{m} \), Height = \( 10.3 \, \text{m} \)
   
   Area of first rectangle = \( 4.4 \times 10.3 = 45.32 \, \text{m}^2 \)

2. **Second rectangle (on the bottom right):**  
   Width = \( 12.4 - 4.4 = 8 \, \text{m} \), Height = \( 2.4 \, \text{m} \)
   
   Area of second rectangle = \( 8 \times 2.4 = 19.2 \, \text{m}^2 \)

### Total area of the L-shaped figure:
\[
\text{Total Area} = 45.32 + 19.2 = 64.52 \, \text{m}^2
\]

Let me know if you'd like more details or have further questions!

Here are 5 related questions to expand your understanding:
1. How would you calculate the perimeter of this L-shaped figure?
2. What would be the area if the dimensions of the shape were doubled?
3. How can the centroid of this L-shaped figure be determined?
4. What would be the area if the horizontal side were extended by 2 meters?
5. How would you calculate the diagonal of the outer bounding rectangle?

**Tip:** For irregular shapes, breaking them down into simpler geometric components (like rectangles or triangles) is a useful strategy for calculating area or perimeter.

How do you calculate the area of an L-shaped figure with the following dimensions: 10.3 m vertical height, 4.4 m top horizontal segment, 2.4 m right vertical segment, and 12.4 m bottom horizontal segment?

Learn how to calculate the area of an L-shaped figure with specific dimensions: 10.3 m vertical height, 4.4 m top horizontal segment, 2.4 m right vertical segment, and 12.4 m bottom horizontal segment. This guide breaks the shape into two rectangles and applies area formulas to find the total area. Suitable for students in Grades 6-8.

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