To find the area of the given figure, we can divide it into two rectangles and calculate the area of each rectangle separately, then add them together.

Step-by-step Solution:

1. Identify the Two Rectangles:

   • Rectangle 1: The larger rectangle on the bottom.
   • Rectangle 2: The smaller rectangle on the top.

2. Dimensions of Rectangle 1:

   • Width = 9 m
   • Height = 9 m
   • Area of Rectangle 1 = Width × Height = $9 \, \text{m} \times 9 \, \text{m} = 81 \, \text{m}^2$

3. Dimensions of Rectangle 2:

   • Width = 3 m
   • Height = 8 m
   • Area of Rectangle 2 = Width × Height = $3 \, \text{m} \times 8 \, \text{m} = 24 \, \text{m}^2$

4. Total Area of the Figure: $\text{Total Area} = \text{Area of Rectangle 1} + \text{Area of Rectangle 2} = 81 \, \text{m}^2 + 24 \, \text{m}^2 = 105 \, \text{m}^2$

Conclusion:

The area of the figure is 105 square meters.

Would you like more details, or do you have any questions about the solution?

Related Questions:

1. How do you find the area of a composite figure with more than two rectangles?
2. What are the steps to solve an area problem involving triangles or circles?
3. How do you calculate the perimeter of a composite figure?
4. How would the area change if one of the dimensions of the rectangles was altered?
5. How can you apply the concept of area in real-world situations?

Tip:

When solving geometry problems involving composite shapes, break them down into simpler shapes like rectangles, triangles, or circles to find the area more easily.