https://file.aiquickdraw.com/mathbot/file/17260064268928iwxhtau.jpg

The figure shown in the image is a compound shape made up of rectangles. To find the total area, we need to break the figure into simpler rectangular sections and sum their areas.

### Step-by-step breakdown:

1. **First Rectangle (Left side)**:
   - Dimensions: 5 m by 10 m.
   - Area = \( 5 \, \text{m} \times 10 \, \text{m} = 50 \, \text{square meters} \).

2. **Second Rectangle (Top right)**:
   - Dimensions: 14 m by 6 m.
   - Area = \( 14 \, \text{m} \times 6 \, \text{m} = 84 \, \text{square meters} \).

3. **Third Rectangle (Bottom right)**:
   - Dimensions: 6 m by 2 m.
   - Area = \( 6 \, \text{m} \times 2 \, \text{m} = 12 \, \text{square meters} \).

4. **Fourth Rectangle (Right bottom corner)**:
   - Dimensions: 3 m by 2 m.
   - Area = \( 3 \, \text{m} \times 2 \, \text{m} = 6 \, \text{square meters} \).

Now, sum up the areas:
\[
\text{Total Area} = 50 + 84 + 12 + 6 = 152 \, \text{square meters}
\]

Thus, the area of the figure is **152 square meters**.

Would you like further clarification or more details? Here are a few related questions to consider:

1. How can you find the perimeter of this compound figure?
2. What would happen to the total area if one of the rectangles changed in size?
3. How can you break down a compound shape into different shapes, like triangles?
4. How do you calculate the area of a triangle, and when would you use it?
5. How can you verify the correctness of your solution by reconstructing the figure?

**Tip:** Always label each part of a compound figure clearly, so it’s easier to break down into smaller shapes for calculating areas.

Learn how to find the area of a compound figure made of rectangles. This detailed step-by-step solution breaks down the problem into simpler sections, helping students in Grades 6-8 calculate the area of complex shapes. Total area: 152 square meters.

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