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To calculate the area of the trapezium in the given problem, we use the formula for the area of a trapezium:

\[
\text{Area} = \frac{1}{2} \times (a + b) \times h
\]

where:
- \(a\) and \(b\) are the lengths of the parallel sides.
- \(h\) is the height of the trapezium.

### Step-by-Step Solution:

1. Identify the lengths of the parallel sides:
   - The top parallel side is \(5 \, \text{cm}\).
   - The bottom parallel side is the sum of the segments \(2 \, \text{cm}\) and \(9 \, \text{cm} + 6 \, \text{cm}\):
     \[
     a = 2 \, \text{cm} + 9 \, \text{cm} + 6 \, \text{cm} = 17 \, \text{cm}
     \]

2. Identify the height (\(h\)):
   - The height between the parallel sides is \(4 \, \text{cm}\).

3. Plug the values into the formula:
   \[
   \text{Area} = \frac{1}{2} \times (5 + 17) \times 4
   \]

4. Simplify the calculation:
   \[
   \text{Area} = \frac{1}{2} \times 22 \times 4 = 11 \times 4 = 44 \, \text{cm}^2
   \]

### Final Answer:
The area of the given shape is **44 cm²**.

Would you like a more detailed explanation or have any questions?

Here are 5 related questions that may help deepen your understanding:
1. What is the formula for finding the area of a parallelogram?
2. How would you calculate the area of a triangle with given base and height?
3. What changes in the area formula if the height is not perpendicular in a trapezium?
4. How do the properties of a trapezium differ from those of a rectangle?
5. How can you use the area of a trapezium formula to solve problems in real-life scenarios?

**Tip:** When working with trapeziums, always ensure you correctly identify the lengths of the parallel sides and the height to apply the formula accurately.

Calculate the area of the trapezium using the given dimensions. Give your answer in cm².

Learn how to calculate the area of a trapezium by applying the formula (1/2) × (a + b) × h. This problem involves key geometric concepts and is suitable for students in Grades 5-7. The solution walks through each step, making it easy to understand the calculation process.

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