To find the area of the polygon in the image, we can divide the shape into simpler rectangles and then sum their areas. Here's the breakdown of the shape:

Step 1: Split the Polygon into Rectangles

• Left Rectangle:

  • Width = 2 meters
  • Height = 9 meters
  • Area = $2 \times 9 = 18 \, \text{m}^2$

• Top Rectangle:

  • Width = 8 meters
  • Height = 4 meters
  • Area = $8 \times 4 = 32 \, \text{m}^2$

• Bottom Rectangle:

  • Width = 10 meters
  • Height = 5 meters
  • Area = $10 \times 5 = 50 \, \text{m}^2$

Step 2: Add the Areas

$18 \, \text{m}^2 + 32 \, \text{m}^2 + 50 \, \text{m}^2 = 100 \, \text{m}^2$

Thus, the total area of the polygon is 100 square meters (m²).

Would you like further details, or do you have any questions?

Here are 5 related questions to expand your knowledge:

1. How can you find the perimeter of this polygon?
2. What other methods could be used to calculate the area of irregular polygons?
3. How would the area calculation change if the shape had a curved side?
4. What is the formula for the area of a triangle, and how does it differ from that of a rectangle?
5. How do you calculate the area of a polygon with more than 4 sides?

Tip: When solving area problems, try dividing complex shapes into basic geometrical figures like rectangles, triangles, or circles.