This is a composite figure made up of rectangles. To find the area of the figure, we break it into smaller rectangles, calculate their areas individually, and then sum them up.

Steps:

1. Divide the figure into two rectangles:

   • Rectangle 1: The larger rectangle on the left side (2 m × 4 m).
   • Rectangle 2: The smaller horizontal rectangle extending to the right (3 m × 2 m).

2. Calculate the area of Rectangle 1: $\text{Area of Rectangle 1} = 2 \, \text{m} \times 4 \, \text{m} = 8 \, \text{m}^2$

3. Calculate the area of Rectangle 2: $\text{Area of Rectangle 2} = 3 \, \text{m} \times 2 \, \text{m} = 6 \, \text{m}^2$

4. Sum the areas: $\text{Total Area} = 8 \, \text{m}^2 + 6 \, \text{m}^2 = 14 \, \text{m}^2$

Final Answer:

The total area of the figure is 14 square meters ($14 \, \text{m}^2$).

Would you like further clarification or a more detailed breakdown?

Related Questions:

1. How do you calculate the perimeter of this figure?
2. What is the difference between area and perimeter?
3. How would the total area change if one of the dimensions were doubled?
4. Can this figure be divided into more than two rectangles? Why or why not?
5. How does the concept of area apply to real-world scenarios like flooring?

Tip:

When working with composite figures, labeling and dividing the figure into simpler parts makes calculations much easier!