The area of a trapezium is calculated by multiplying the average of its parallel sides by its height.
Formula:
The formula for calculating the area of a trapezium is:
Area = (1/2) (a + b) h
Where:
- a and b are the lengths of the two parallel sides
- h is the perpendicular distance between the parallel sides (also known as the height)
Example:
Let's say you have a trapezium with the following measurements:
- a = 5 cm
- b = 8 cm
- h = 4 cm
Using the formula, the area of the trapezium would be:
Area = (1/2) (5 + 8) 4 = 26 cm²
Practical Insights:
- Identifying the Parallel Sides: The parallel sides of a trapezium are the two sides that never intersect, even if extended.
- Finding the Height: The height is the perpendicular distance between the parallel sides. This means it forms a right angle with both parallel sides.
- Units: Remember to use consistent units for all measurements. If the sides are measured in centimeters, the height should also be in centimeters, and the area will be in square centimeters.
Conclusion:
By following the formula and understanding the key measurements, you can easily calculate the area of any trapezium.
