Trapezoid Perimeter Calculator

Introduction

Welcome to our Trapezoid Perimeter Calculator, which will help you quickly calculate the trapezoid’s perimeter. A trapezoid is a closed two-dimensional shape with four sides and at least two parallel to each other. The bases are the parallel sides of the trapezoid, and the non-parallel sides are the lateral sides or legs of the trapezoid.

The altitude is the shortest distance between the two parallel sides of the trapezoid.

How to use Trapezoid Perimeter Calculator?

Using the trapezoid perimeter calculator, you can calculate the perimeter of the trapezoid by inputting the length of the bases and the length of the lateral sides of the trapezoid.

The variables in the calculator include:

Shorter Base (a): The length of the shorter of the two bases

Longer base (b): The length of the longer of the two bases

1st Lateral Side (c): The length of the 1st lateral side of the trapezoid.

2nd Lateral Side (d): The length of the 2nd lateral side of the trapezoid.

Trapezoid Perimeter (P): We can calculate the perimeter of the trapezoid using the following formula

Where,

a = Length of the Shorter Base

b = Length of the Longer Base

c = Length of the 1st Lateral Side

d = Length of the 2nd Lateral Side

What is a Trapezoid?

A trapezoid is a closed two-dimensional space with four sides in which at least two are parallel.

In addition, the trapezoid’s two parallel sides are called the trapezoid’s bases, and the trapezoid’s non-parallel sides are called the trapezoid’s legs or lateral sides.

The perpendicular dropped from one of the bases to the other is the height or altitude of the trapezoid.

The properties of the trapezoid are

1. The bases are parallel to each other.
2. The adjacent angles will add up to 180
3. The median of the trapezoid will be parallel to both the bases, and its length will be equal to $(a + b)/2$

Types of Trapezoids

Isosceles Trapezoid

If the lateral sides of the trapezoid are equal in length, then the trapezoid is called an isosceles trapezoid.

The angles formed by the base with the lateral sides will be equal.

Scalene Trapezoid

If none of the trapezoid sides is equal, it is a scalene trapezoid.

Right Trapezoid

If the trapezoid has a pair of right angles, it is called a Right trapezoid.

How is the Perimeter of the Trapezoid Calculated?

The perimeter of a trapezoid is the total distance around the shape. It is the sum of the lengths of all four sides of the trapezoid.

We can calculate the perimeter of the trapezoid by using the following formula.

Where,

a = Length of the Shorter Base

b = Length of the Longer Base

c = Length of the 1st Lateral Side

d = Length of the 2nd Lateral Side

Examples

Given a Trapezoid with length of a shorter base equal to 5 cm, length of longer base equal to 10 cm, and the lateral sides have a length of 6 cm and 7 cm. What is the perimeter of the Trapezoid?

We can calculate the perimeter of the trapezoid by using the following formula.

As you can see, the length of the perimeter of the trapezoid is 28 cm.