# Trapezium Area Calculator

## What is the Area of Trapezium Calculator?

A trapezium is a quadrilateral with one pair of parallel sides which are known as bases. It means the other pair of sides can be non-parallel which are known as legs. 'Cuemath's Area of a Trapezoid Calculator' is an online tool that calculates the area of a trapezoid within a few seconds.

## How to Use the Area of Trapezium Calculator?

• Step 1: Enter the length of two parallel sides of a trapezium (base) and height in the given input box.
• Step 2: Click on the "Calculate" button to find the area of the trapezium.
• Step 3: Click on the "Reset" button to find the area for different lengths of parallel sides of the trapezium.

## How to Find the Area of Trapezium?

The area of a trapezium is defined as half the product of sum of the length of two of its parallel sides and height. The area of a trapezoid is the number of unit squares that can be fit into it and it is measured in square units

The area of trapezium is given by 1/2 × (a + b) × h

where 'a' and 'b' are lengths of two of its parallel sides of the trapezium and 'h' is the height (perpendicular distance between a and b)

### Solved Example:

Find the area of a trapezium whose parallel sides are 16 units and 10 units respectively and whose height is 8 units?

### Solution:

Given: a = 16 units, b = 10 units and height = 8 units

Area of trapezium = 1/2 × (a + b) × h

= 1/2 (16 + 10) × 8

= 26 × 4

104 square units

Therefore, the area of the trapezium is 104 square units

Similarly, you can the calculator to find the area of the trapezium

1) parallel sides of a trapezium are 22 units, 12 units and height is 8 units

2) parallel sides of a trapezium are 14 units, 4 units and height is 16 units