To calculate the area of the shaded parallelogram, we use the formula for the area of a parallelogram:

$\text{Area} = \text{Base} \times \text{Height}$

Step 1: Identify the base and height

• The base of the parallelogram is the length of the bottom side. From the diagram, the base is $10 \, \text{cm}$.
• The height is the perpendicular distance between the top and bottom sides of the parallelogram. From the diagram, the height is $5 \, \text{cm}$.

Step 2: Substitute into the formula

$\text{Area} = 10 \, \text{cm} \times 5 \, \text{cm} = 50 \, \text{cm}^2$

Final Answer:

The area of the shaded parallelogram is:

$\boxed{50 \, \text{cm}^2}$

Would you like further clarification on this or related topics?

Here are 5 related questions to expand your understanding:

1. What is the formula for the area of other shapes, such as triangles or trapezoids?
2. How does the height affect the area of a parallelogram if the base remains constant?
3. What is the relationship between the parallelogram and the rectangle in this diagram?
4. How can you find the perimeter of the parallelogram?
5. How does changing the slant of the parallelogram (without altering the base or height) affect its area?

Tip: Always remember that the height of a parallelogram must be perpendicular to the base, not the slant height.