Perimeter of a Heptagon – Formulas and Examples

The perimeter of a heptagon is the total length of the contour around the heptagon. This means that we can calculate the perimeter of heptagons by adding the lengths of the seven sides. In the case of regular heptagons, all seven sides have the same length, so we can obtain a simplified perimeter formula.

Here, we will learn about the formula used to calculate the perimeter of regular heptagons. In addition, we will look at some solved exercises in which we will apply this formula.

GEOMETRY
formula for the perimeter of a heptagon

Relevant for

Learning about the perimeter of a heptagon with examples.

See examples

GEOMETRY
formula for the perimeter of a heptagon

Relevant for

Learning about the perimeter of a heptagon with examples.

See examples

What is the formula to find the perimeter of a heptagon?

The perimeter of any figure is calculated by adding the lengths of all the sides. In the case of a heptagon, we have to add the lengths of the seven sides, so we have the following formula:

p=a+b+c+d+e+f+g

where, a, ~b, ~c, ~d, ~e, ~f, ~g are the lengths of the sides of the heptagon.

If we have a regular heptagon, we know that the seven lengths are equal, so the formula becomes:

p=7a

where a is the length of one of the sides of the heptagon.

diagram of the sides of a heptagon

Perimeter of a heptagon – Examples with answers

With the following examples, you can practice solving problems related to the perimeter of heptagons. Each example has its respective solution, but it is recommended that you try to solve the exercises yourself before looking at the answer.

EXAMPLE 1

What is the perimeter of a heptagon that has sides of length 6 m?

We can use the perimeter formula with a=6. Therefore, we have:

p=7a

p=7(6)

p=42

The perimeter of the heptagon is 42 m.

EXAMPLE 2

A heptagon has sides of length 11 m. What is its perimeter?

We have to use the perimeter formula with a=11. Therefore, we have:

p=7a

p=7(11)

p=77

The perimeter of the heptagon is 77 m.

EXAMPLE 3

What is the perimeter of a heptagon that has sides of length 23 m?

We use the length a=23 in the perimeter formula. Therefore, we have:

p=7a

p=7(23)

p=161

The perimeter of the heptagon is 161 m.

EXAMPLE 4

A heptagon has a perimeter of 49 m. What is the length of its sides?

In this case, we start with the perimeter and want to find the length of one of the sides. We use the perimeter formula with p=49 and solve for a:

p=7a

49=7a

a=7

The length of one of the sides is 7 m.

EXAMPLE 5

What is the length of the sides of a heptagon that has a perimeter of 147 m?

Similar to the previous problem, we use the perimeter formula with p=147 and solve for a:

p=7a

147=7a

a=21

The length of the sides of the heptagon is 21 m.


Perimeter of a heptagon – Practice problems

Practice using the formula for the perimeter of heptagons to solve the following problems. If you need help with this, you can look at the solved examples above.

What is the perimeter of a heptagon that has sides of length 5m?

Choose an answer






What is the perimeter of a heptagon that has sides of length 8m?

Choose an answer






What is the length of the sides of a heptagon that has a perimeter of 63m?

Choose an answer






What is the length of the sides of a heptagon that has a perimeter of 126m?

Choose an answer







See also

Interested in learning more about parallelograms? Take a look at these pages:

Learn mathematics with our additional resources in different topics

LEARN MORE