Formula for calculating the area of a trapezium:

To find the area of a trapezium, you can use the following formula:

A = (a + b) * h / 2

Where:
- A represents the area of the trapezium
- a and b are the lengths of the parallel sides of the trapezium
- h is the perpendicular height between the parallel sides

Explanation:

1. Identify the parallel sides:
- In a trapezium, there are two parallel sides. Let's call them side a and side b.

2. Determine the perpendicular height:
- The perpendicular height (h) is the distance between the parallel sides. It is the shortest distance between the two parallel sides.

3. Calculate the area:
- Use the formula A = (a + b) * h / 2 to calculate the area of the trapezium.
- Add the lengths of the parallel sides (a and b), then multiply the sum by the height (h).
- Finally, divide the result by 2 to get the area.

4. Example:
- Let's consider a trapezium with side a measuring 6 cm, side b measuring 10 cm, and a height of 4 cm.
- Applying the formula: A = (6 + 10) * 4 / 2 = 16 * 4 / 2 = 64 / 2 = 32 square cm.
- Therefore, the area of the trapezium is 32 square cm.

Summary:

To calculate the area of a trapezium, you need to know the lengths of the parallel sides and the perpendicular height. Using the formula A = (a + b) * h / 2, you can find the area by adding the lengths of the parallel sides, multiplying the sum by the height, and dividing the result by 2.