To calculate the area of the given shape, let's break it into simpler rectangles, compute their individual areas, and then sum them.

Observations from the image:

1. The shape appears to be an L-shaped figure that can be divided into two rectangles:
   • Top rectangle with dimensions $6 \, \text{cm} \times 4 \, \text{cm}$.
   • Bottom rectangle with dimensions $2 \, \text{cm} \times 3 \, \text{cm}$.

Step-by-Step Calculation:

1. Area of the top rectangle:

$\text{Area}_{\text{top}} = \text{Length} \times \text{Width} = 6 \, \text{cm} \times 4 \, \text{cm} = 24 \, \text{cm}^2$

2. Area of the bottom rectangle:

$\text{Area}_{\text{bottom}} = \text{Length} \times \text{Width} = 2 \, \text{cm} \times 3 \, \text{cm} = 6 \, \text{cm}^2$

3. Total Area:

$\text{Total Area} = \text{Area}_{\text{top}} + \text{Area}_{\text{bottom}} = 24 \, \text{cm}^2 + 6 \, \text{cm}^2 = 30 \, \text{cm}^2$

Final Answer:

The area of the shape is: $\boxed{30 \, \text{cm}^2}$

Would you like further clarifications or have additional questions?

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Related Questions:

1. How would the area change if the dimensions of the top rectangle doubled?
2. Can this shape be divided into more complex sub-regions for other calculations?
3. How would you calculate the perimeter of this L-shaped figure?
4. What real-world applications involve calculating the areas of irregular shapes?
5. How can we generalize the process of finding areas for more complicated composite shapes?

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Tip:

When dealing with composite shapes, always break them into simpler shapes, calculate their areas individually, and then sum them.