To find the area of the shaded region, we can break down the shape into two rectangles, calculate the area of each rectangle, and then add them together.

Step-by-Step Solution

1. Identify the Two Rectangles:

   • Rectangle 1 (Top Rectangle):
     • Dimensions: $4 \, \text{cm} \times 5 \, \text{cm}$
   • Rectangle 2 (Bottom Rectangle):
     • Dimensions: $6 \, \text{cm} \times 2 \, \text{cm}$

2. Calculate the Area of Each Rectangle:

   • Area of Rectangle 1: $4 \, \text{cm} \times 5 \, \text{cm} = 20 \, \text{cm}^2$
   • Area of Rectangle 2: $6 \, \text{cm} \times 2 \, \text{cm} = 12 \, \text{cm}^2$

3. Add the Areas Together:

   • Total Area = $20 \, \text{cm}^2 + 12 \, \text{cm}^2 = 32 \, \text{cm}^2$

Final Answer

The area of the shaded region is 32 cm².

Would you like further details or have any questions?

Related Questions to Explore:

1. How would the area change if one of the rectangles had different dimensions?
2. What is the perimeter of the entire shaded region?
3. How would you calculate the area if there was an additional cut-out section?
4. Can you calculate the area if it was divided into more than two rectangles?
5. How does calculating area differ for shapes with curved boundaries?

Tip: Breaking complex shapes into simpler rectangles or triangles can make area calculations easier!