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To find the area of a trapezium, we use the formula:

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

Where:
- \( a \) and \( b \) are the lengths of the parallel sides.
- \( h \) is the height (the perpendicular distance between the parallel sides).

In this case:
- \( a = 6 \, \text{cm} \)
- \( b = 8 \, \text{cm} \)
- \( h = 4 \, \text{cm} \)

Now let's calculate the area:

\[
\text{Area} = \frac{1}{2} \times (6 + 8) \times 4 = \frac{1}{2} \times 14 \times 4 = 28 \, \text{cm}^2
\]

So, the area of the trapezium is **28 cm²**.

Would you like further details on this or have any questions?

Here are some related questions:
1. How do we derive the formula for the area of a trapezium?
2. What are other shapes where similar area formulas are used?
3. How do the units of area change when dimensions are in meters instead of centimeters?
4. What is the importance of the height in calculating areas of trapeziums?
5. Can a trapezium's area be calculated if we know only one side and the height?

**Tip:** Always ensure that the height in the trapezium area formula is perpendicular to the parallel sides.

Work out the area of the trapezium with parallel sides of 6 cm and 8 cm, and a height of 4 cm.

Learn how to calculate the area of a trapezium with parallel sides of 6 cm and 8 cm, and a height of 4 cm using the trapezium area formula. Detailed step-by-step explanation for Grades 6-8 geometry students.

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