# Perimeter of a Quadrilateral Calculator

- 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 sides
- How to find the perimeter of a quadrilateral when given the coordinates
- How to use our perimeter of a quadrilateral calculator
- Other quadrilateral calculators
- FAQ

Do 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.

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:

- Quadrilateral calculator;
- Area of a trapezoid calculator;
- Area of a rectangle calculator;
- Area of a square calculator;
- Perimeter of a square calculator;
- Perimeter of a rectangle calculator;
- Trapezoid perimeter calculator;
- Perimeter of a rectangle with given area; and
- Length and width of a rectangle given perimeter calculator.

## FAQ

### 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**.