# How can we calculate the area of a trapezium?

A trapezium is a 2D quadrilateral with specific properties and formulas for calculating area and perimeter.

## Answer: The area of the trapezium is 1/2 times the sum of parallel sides times the distance between them.

Go through the various properties and formulas for the trapezoid given below.

**Explanation:**

A trapezium is a quadrilateral with four sides and a pair of parallel sides in them. A trapezium is a 2D shape, which has its own properties and formulas. Apart from trapezium, there are four other types of quadrilateral, they are:

1) Rectangle

2) Square

4) Rhombus

Look at the properties of the trapezium.

- Parallel sides of the trapezium are called bases while the non-parallel sides are called the legs of the trapezoid.
- If we draw a line segment, between the two non-parallel sides, from the mid-point of both sides, the trapezium will be divided into two unequal parts.
- The line segment that joins the non-parallel sides of the trapezium is called the mid-point segment of the trapezoid.
- The diagonals of regular trapezium bisect each other.

Formula to Find Area of the Trapezium:

Area = 1 / 2 × (Sum of parallel sides) × (distance between them)

Area = 1 / 2 × (a + b) × h

You can use Cuemath's Area of a Trapezoid Calculator to verify your answer.