The trapezoid is intriguing since it is defined by your geographical location. If you ask a student to draw a trapezoid for you while on an exchange trip to the United Kingdom, they will draw it as a trapezium. In certain areas of the globe, a trapezoid is also known as a trapezium, and it is a form of a quadrilateral having one set of opposing sides that are parallel to each other. In this article, we are going to discuss the definition of a trapezoid, area of trapezoid as well as its properties.

## What is a Trapezoid?

A trapezoid is a polygon with just one parallel set of sides. These parallel sides are also known as trapezoid parallel bases. The other two sides of trapezoids are non-parallel and are referred to as trapezoidal legs.

Trapezoids are defined differently by different people. One school of thought holds that a trapezoid can have just one pair of parallel sides, whereas another holds that a trapezoid can have several pairs of parallel sides. When we adopt the second definition, a parallelogram is also a trapezoid. However, according to the first definition, a parallelogram is not a trapezoid.

To know more about the topic and to understand the formulas as well as the concept of the area of trapezium you can visit the Cuemath website.

## Trapezoid Properties

Let’s go through the properties of trapezoids. These are the characteristics of a trapezoid that distinguish it from other quadrilaterals:

• The bases (top and bottom) are perpendicular to one another.
• A trapezoid’s opposite sides (isosceles) are the same length.
• The median is perpendicular to both bases.
• The median length is the average of both bases. Specifically, (a + b)/2
• A parallelogram is said to be formed when both pairs of opposing sides of a trapezoid are parallel.
• A trapezoid can also be known as a square if both sets of opposing sides are parallel, all sides are equal length, and at right angles to each other.
• A trapezoid can be called a rectangle if both sets of opposing sides are parallel, opposite sides are of equal length, and opposite sides are at right angles to each other.

## Area of Trapezoid

The area of a trapezoid on a two-dimensional plane is defined as the region covered by a trapezium. It is the area bounded by 2D geometry and measured in square units. A trapezium is a 2D form that belongs to the quadrilateral family. It, like other geometrical forms, has its own set of attributes and formulae based on area and perimeter. As a result, the area of the trapezium formula, as well as its derivation and examples, are discussed in the article to help you understand it better.

## Area of Trapezoid Formula

To calculate the area of a trapezoid, simply know its bases (parallel sides) and the perpendicular distance between them.

If “a” and “b” are the parallel sides of a trapezoid and “h” is the perpendicular distance between them, the area of a trapezoid can be calculated as follows:

Trapezoid area = (1/2) [(a+b)h] square units

## How to Find the Area of a Trapezoid?

Follow the methods below to calculate the area of a trapezoid:

Step 1: Determine the dimensions of the provided trapezoid, i.e., the length of parallel sides and the height.

Step 2: Add the lengths of parallel sides together.

Step 3: Multiply the total of parallel sides by the trapezium’s height.

Step 4: To reach the final solution, divide the above-calculated amount by 1/2.

The area of the supplied trapezoid is the value obtained in step 4.

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