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 half of the product of the sum of parallel sides and the perpendicular 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

3) Parallelogram

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.
• The sum of interior angles of a trapezium is 360°.
• The diagonals of regular trapezium bisect each other.
• The adjacent angles of a trapezium are supplementary.

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.

Thus, the area of the trapezium is half of the product of the sum of parallel sides and the perpendicular distance between them.