https://file.aiquickdraw.com/mathbot/file/1727316621990b7r30nco.jpg

To calculate the area of the polygon in the image, we can break the figure into simpler rectangular sections. The diagram provides measurements in meters.

### Step 1: Break the polygon into two rectangles.
- **Top-left rectangle**:
  - Width = 2 meters
  - Height = 9 meters (combining the vertical distances of 4 m and 5 m)
  
  Area of this rectangle = \( 2 \, \text{m} \times 9 \, \text{m} = 18 \, \text{m}^2 \)

- **Bottom-right rectangle**:
  - Width = 10 meters
  - Height = 5 meters
  
  Area of this rectangle = \( 10 \, \text{m} \times 5 \, \text{m} = 50 \, \text{m}^2 \)

### Step 2: Total area
Add the areas of the two rectangles:
\[
18 \, \text{m}^2 + 50 \, \text{m}^2 = 68 \, \text{m}^2
\]

Thus, the total area of the polygon is \( \boxed{68 \, \text{m}^2} \).

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Do you want further details, or have any additional questions?

Here are 5 related questions to further explore:
1. How would the area change if one of the sides was increased by 2 meters?
2. What is the perimeter of this polygon?
3. How would you calculate the area if the polygon was irregular (not made of rectangles)?
4. Can you convert the area into square centimeters?
5. What is the formula for the area of a parallelogram, and how does it compare to rectangles?

**Tip**: When solving complex polygons, breaking them into simpler shapes like rectangles or triangles often simplifies area calculations.

Find the area of the polygon in the given diagram with dimensions of 2m, 4m, 5m, 8m, 9m, and 10m.

This guide explains how to calculate the area of a polygon by breaking it into rectangles. The diagram includes dimensions of 2m, 4m, 5m, 8m, 9m, and 10m. Learn the step-by-step process suitable for students in Grades 6-8.

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