## What is a trapezoid?

A trapezoid is a figure with 4-sided and one pair of parallel sides. For example, look in the diagram on the right side, the bases base1 and base2 are parallel. So, if your want to find the area of a trapezoid, add the bases of trapezoid and then multiply the sum by the height of the trapezoid, and then divide the result by 2.

## Area of a trapezoid

The given formula to find the area of the trapezoid is

Where,

a & b are the value of bases

“h” is the altitude (Height)

Remember that “b1 and b2” shown in figure above are the bases parallel to each other and the “h” is the altitude (height) of the trapezoid which is perpendicular distance between these two bases.

## Properties or rules:

A trapezoid is quadrilateral in shape and have two parallel sides and these parallel sides are called bases. The figure below to the left shows a trapezoid, and an isosceles trapezoid on the right.

The properties of the trapezoid are mentioned below:

- The bases are parallel.
- Each lower base angle and the upper base angle are supplementary to each other on the same side of trapezoid.

The properties of the isosceles trapezoid are:

- The properties of trapezoid are parallel bases.
- The legs are congruent
- Angles of lower base are congruent.
- Angles of upper base are congruent.
- to any upper base angle is supplementary any lower base angle.
- The diagonals are congruent.

Perhaps the hardest property of both diagrams is that there is always one supplementary angle. Consecutive angles have same-side interior angles because of the parallel sides and are thus supplementary. (All the special quadrilaterals contain consecutive supplementary angles except the kite.)

## Trapezoid Area Calculator

Calculatored introduce trapezoid area calculator to use for calculation of area of trapezoid. (calculatored, 2019)

Where,

You have to enter three values

“a” is the base 1

“b” is the base 2

“h” is the altitude (height)

After you entered the values of bases and length then press “CONVERT” button and the area of the trapezoid is calculated.

Here is the example of calculation to find the area of trapezoid through calculatored trapezoid area calculator

After entered the value of base “a” =2

Base “b” =4 and

“h” height = 8

then, press “CONVERT” button and the area of the trapezoid is calculated on the right side of the calculator in the status block.

A trapezoid is a quadrilateral and the sum of is a quadrilateral 360 degrees. If the combination of angles/degrees are equals to 180 degree then assume that figure is closed and the rules of a trapezoid are followed by objects.

## Perimeter of the trapezoid

Remember that perimeter is the measure of the outer edge of a shape, or otherwise, the sum of the measures of the sides of the trapezoid. Representing the perimeter by P, and the sides as a, b, c and d, our formula is P= a + b + c + d.