https://file.aiquickdraw.com/mathbot/file/1729436832066tlv9jlrz.jpg

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

\[
\text{Area} = \text{base} \times \text{height}
\]

### Step-by-step solution:
1. **Base of the parallelogram**: 
   The base is the length of the side parallel to the bottom of the rectangle. In this case, the base is given as the length between the two vertical sides of the rectangle, which is \(10 \, \text{cm}\).

2. **Height of the parallelogram**:
   The height is the perpendicular distance between the two parallel sides of the parallelogram. From the diagram, the height is given as \(5 \, \text{cm}\).

### Now, apply the formula:
\[
\text{Area} = 10 \, \text{cm} \times 5 \, \text{cm} = 50 \, \text{cm}^2
\]

Thus, the area of the shaded parallelogram is **50 cm²**.

Would you like any further details or explanations?

Here are 5 related questions for practice:
1. How do you calculate the area of a parallelogram when given its side lengths and angles instead of height?
2. What is the difference between the area formulas for rectangles and parallelograms?
3. How do you find the height of a parallelogram if only the area and base are given?
4. Can the base and height of a parallelogram ever be the same? Under what circumstances?
5. How does the area of a parallelogram change if the height is doubled but the base remains the same?

**Tip:** When solving geometry problems involving parallelograms or rectangles, make sure to distinguish between the slanted sides and the perpendicular height for accurate calculations.

What is the area of the shaded parallelogram?

Learn how to calculate the area of a shaded parallelogram with base 10 cm and height 5 cm inside a rectangle. This geometry problem is ideal for students in Grade 5-6 and covers key concepts like the area formula for parallelograms.

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