To find the area of the given figure, we break the complex shape into two rectangles and calculate their areas separately.

Step-by-Step Breakdown:

1. Label the two rectangles:

   • Top rectangle has dimensions:
     • Height = $4 \, \text{cm}$
     • Width = $6 \, \text{cm}$ (since $2 \, \text{cm} + 2 \, \text{cm} + 2 \, \text{cm} = 6 \, \text{cm}$).
   • Bottom rectangle has dimensions:
     • Height = $5 \, \text{cm}$
     • Width = $3 \, \text{cm}$.

2. Calculate the area of each rectangle:

   • Area of top rectangle: $\text{Area} = \text{Height} \times \text{Width} = 4 \, \text{cm} \times 6 \, \text{cm} = 24 \, \text{cm}^2$
   • Area of bottom rectangle: $\text{Area} = \text{Height} \times \text{Width} = 5 \, \text{cm} \times 3 \, \text{cm} = 15 \, \text{cm}^2$

3. Add the areas together: $\text{Total Area} = 24 \, \text{cm}^2 + 15 \, \text{cm}^2 = 39 \, \text{cm}^2$

Final Answer:

The area of the figure is 39 cm².

Do you need more details or explanations on any step?

Related Questions:

1. How do you determine the dimensions of a complex figure?
2. What is the formula for the area of a rectangle?
3. How can we find the perimeter of this figure?
4. How do you divide irregular shapes into simpler parts?
5. Can this method be applied to 3D shapes as well?

Tip: Always label and separate regions clearly when dealing with irregular or piecewise shapes.