# What is a Trapezium?

Different shapes are commonly used in the construction, creation, and measurement of many objects. Trapezium is one of the most prevalent shapes. When sketched on paper, it is a two-dimensional form that represents a table. A trapezium can be found in a glass of water, a table lamp, a flower pot, a boat, and other items.

A trapezium is a 2-dimensional quadrilateral with a pair of parallel opposing sides (due to its four straight lines). The base and the non-parallel sides of the trapezium are referred to as the base and legs of the trapezium, respectively. It has four sides and four corners and is a closed planar form.  Let\’s go through all the trapezium\’s attributes, as well as the area and perimeter calculation, kinds, and instances.

## Definition of Trapezium

A trapezium is a convex quadrilateral with one set of opposing sides that are perfectly parallel to one another. When sketched on a sheet of paper, the trapezium is a two-dimensional object that looks like a table. A quadrilateral is a polygon with four sides and four vertices in Euclidean geometry. A trapezium has four sides, four angles, and four vertices as a result.

There are several trapezium specimens to be found in the real world. The trapezium rule, in which the area under the curve is split into a number of trapeziums and the area of each trapezium is assessed, is a common use of trapezium.

## Area of Trapezium

The area of a trapezium on a two-dimensional plane is the area covered by a trapezium. It\’s the 2D space that\’s measured in square units. A trapezium is also a two-dimensional quadrilateral having its own characteristics and calculations. These two are depending on area and perimeter, much as other geometrical forms.

Formula to calculate the area of trapezium – ½* (b+c) *h

## Formula for Calculating the Area of a Trapezium

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

Step 1: Determine the dimensions of the specified trapezium, including the length of parallel sides and height.

Step 2: Add the lengths of parallel sides to the equation.

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 trapezium is the value obtained in step 4.

## Properties of Trapezium

Each quadrilateral has its unique set of characteristics that distinguish it from the others. These properties provide more information about a shape\’s geometrical construction. The following are the characteristics of trapezium:

• It\’s a two-dimensional form.
• A trapezium\’s bases are parallel to one another.
• Both diagonals have the same length.
• A trapezium\’s diagonals are always intersected by each other.
• The total of the neighboring internal angles is 180°.
• In a trapezium, the total of all internal angles is always 360°.

## How to Differentiate Between a Trapezium and Trapezoid?

The trapezium is a four-sided polygon as well as a two-dimensional shape with exactly one set of opposite parallel sides. A trapezoid is a four-sided polygon having one set of parallel sides that are diagonally opposite each other. The trapezoid\’s bases are parallel sides, while the trapezoid\’s legs are the other two sides.

Although other countries use the terms differently. However, in terms of mathematics, they are identical.

## Applications of Trapezium

Trapezium is used in a variety of ways. The notion is often applied in physics calculations and other mathematical calculations. Trapeziums are known to be the foundation for getting the equations of motion. The combination of physics equations and mathematical computations is very carefully described to ensure that a young engineer\’s knowledge is clear.

The trapezium rule, in which the area under the curve is split into varying numbers of trapeziums, is one of the most common uses of the trapezium. In many applications such as building, interior design, animation, 3D printing, and other job fields, it is critical to measure the size, form, volume, and other elements of any shape.