# Perimeter of a Quadrilateral Calculator

Table of contents

So what is the perimeter of a quadrilateral?What is a quadrilateral?What is a concave quadrilateral?How to find the perimeter of a quadrilateral given its sidesHow to find the perimeter of a quadrilateral when given the coordinatesHow to use our perimeter of a quadrilateral calculatorOther quadrilateral calculatorsFAQsDo you need a *perimeter of a quadrilateral calculator* to help you solve those math problems? Do you know the coordinates of a shape with four sides but have no idea 😕 **how to calculate the perimeter** and need some help❓ We have just the tool you need. Our *how to find the perimeter of a quadrilateral calculator* is designed to help you find the perimeter of any shape with four sides and four vertices.

**In this article, you will learn more about:**

- What a quadrilateral is;
- What is a concave quadrilateral;
- How to find the perimeter of a quadrilateral given four sides;
- How to calculate the perimeter of a quadrilateral using the coordinates; and
- How to use our perimeter of a quadrilateral calculator.

## So what is the perimeter of a quadrilateral?

The **perimeter of a quadrilateral** is the distance around the quadrilateral. So to find the perimeter of a quadrilateral 🟧, we need to **add up all the sides**. The real difficulty, however, is that we do not always know what those measurements are in mathematics or real life. This is where our calculator comes in.

🔎 If you have a rectangle, you can find its perimeter with our perimeter of a rectangle calculator.

Keep reading to learn how to find the perimeter of quadrilaterals when **all the sides are known** as well as when **only the coordinates of the vertices are known.**

## What is a quadrilateral?

A quadrilateral is a closed shape with **four straight sides, angles, and vertices.** Some examples of quadrilaterals are **square, kite, rhombus, trapezoid, and parallelogram.**

## What is a concave quadrilateral?

**A concave quadrilateral** is a four-sided figure with **one interior angle measuring more than 180 degrees.** Additionally, a concave quadrilateral has one diagonal that lies in the area of the actual form.

## How to find the perimeter of a quadrilateral given its sides

Finding a quadrilateral's perimeter when the sides are known is a pretty simple task. **We add all the sides together.** Of course, sometimes, we may only know two sides. With most quadrilaterals, this is still pretty simple.

For instance, if the quadrilateral is a square, rectangle, parallelogram, or any shape with two equal opposite sides and angles, **the usual solution is to multiply the length by two and the width by two, then add the answers together to arrive at the perimeter.**

However, we cannot do this for more irregular shapes like a trapezoid unless we have more information.

## How to find the perimeter of a quadrilateral when given the coordinates

To find the **perimeter of a quadrilateral, when you know the coordinates of the vertices, you:**

- Use the
**distance formula**to find the length of each side.

- Put in the matching $x$ and $y$ coordinates of all the sides and calculate the lengths.
- Once you complete step 2, you need to add all the answers together.
- The result is the perimeter.

### Example:

Given the coordinates of quadrilateral `DEFG`

as (`5, 7`

), (`8, 7`

), (`1, 3`

), and (`9, 3`

) respectively, find the perimeter.

Let the values of `D`

, (`5 and 7`

) be **x₁, y₁** the values of `E`

, (`8, 7`

), are **x₂, y₂** the values `F`

, (`1, 3`

) are **x₃, y₃** and the values of `G`

, (`9, 3`

) are **x₄, y₄**.

Now plot the graph so you can clearly see which points connect to form your quadrilateral.

**Using the distance formula, let us find line DE:**

**Now let's find line FG:**

**Now, let's find the length of line EG:**

**Finally, let us calculate the last side:**

Once you have found the lengths of all the sides, the only thing left to do is **add all the lengths together.** So the perimeter of the quadrilateral is:

## How to use our perimeter of a quadrilateral calculator

The *perimeter of a quadrilateral calculator* is two calculators in one. It allows us **to calculate the distance around** any four-sided shape using either the **known length of all sides or the coordinates of all the vertices.** So here are the steps you should follow to use our calculator:

- To select which of these calculators you wish to use, choose from the options available in the field labeled
**Given**. - If you choose the option
**4 sides**, you should now enter the values of the four sides. - Once you have completed step 2, the calculator will show your answer in the field labeled perimeter.
- If you choose
**four vertices**in the**Given**field, you will see a second calculator where you will need to fill in the x and y coordinates of the shape whose perimeter you wish to calculate. - Once you have filled in the coordinates, our calculator will
**return both the length of each side as well as the perimeter of the shape.**

## Other quadrilateral calculators

Here are some similar calculators that may interest you:

### How do I calculate the perimeter of a quadrilateral given its coordinates?

To **calculate the perimeter of a quadrilateral when given its coordinates,** you need to follow these steps:

- Get the coordinates of each side.
- Put the coordinates of each side into the
**distance formula**and calculate the**lengths**. - Find the
**total length**of all the sides. - The answer from step 3 is your
**perimeter**.