A trapezium is a quadrilateral with one set of parallel sides. To calculate the area of a trapezium, divide it into a triangle and rectangle by connecting the non-parallel sides. The area formula is (a + b)h/2, where a and b are the parallel sides, h is the height or altitude, and (a - b) gives the base of the triangle formed. An example calculates the area of a given trapezium using this formula.

1. AREA OF TRAPEZIUM

2. A trapezium is a quadrilateral that has
only one pair of parallel sides.

3. HOW TO FIND THE AREA OF TRAPEZIUM?

4. To calculate the area of a
trapezium, divide it into a rectangle
and two triangles as shown below.

5. Now, piece together the triangular ends so that
the trapezium is divided into
a triangle and rectangle. The base of the
triangle is the difference between the lengths of
two parallel sides. That is, a – b

7. where
b1, b2 are the
lengths of each
base
h is the altitude
(height)
The area of a trapezoid is
given by the formula

8. NOW CHECK YOUR KNOWLEDGE!

9. Find the area of the following trapezium.

10. Solution:
So, the area of the trapezium is 204 m2.

11. THANK YOU