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A hexagon is a polygon with six sides. The perimeter of a hexagon is the sum of all the sides of the hexagon. The properties of these hexagons make it interesting to learn about the formula to find their perimeter....Read MoreRead Less

There are different types of hexagons, ranging from regular to irregular, and concave and convex hexagons.

The formula for the perimeter of a regular hexagon is given by,

P = 6a, where **a** is the length of one of its sides.

Here, each internal angle of the hexagon is 120°.

The perimeter formula for any other kind of hexagon other than a regular hexagon is given by,

P = Sum of all the six side lengths of a hexagon

**Example 1:** Calculate the perimeter of a regular hexagon with each side measuring 7 units.

**Solution:** Here, the side length, a = 7 units

As we have learned, the perimeter of a regular hexagon is given by,

P = 6a

P = 6 x 7

P = 42 units

Hence, the perimeter of the regular hexagon is 42 units.

**Example 2:** The perimeter of a hexagonal chessboard is 54 units. Find the side length of this chessboard.

**Solution:** The hexagonal chessboard has a perimeter of 54 units.

As we know, the formula for finding the perimeter of a hexagon is given by, P = 6a.

Here, we have to find the side length of the chessboard.

So, by substituting the values in the formula,

54 = 6a

We can write this as,

6a = 54

a = 54 ÷ 6

a = 9 units

Hence, each side of the hexagonal chessboard is 9 units in length.

**Example 3:** What is the perimeter of an irregular hexagon with sides 4 cm, 5 cm, 3 cm, 6 cm, 5 cm, 7 cm?

**Solution:** As we have learned, the perimeter formula for an irregular hexagon is the sum of its sides.

So, P = sum of the side lengths of a hexagon

P = 4 + 5 + 3 + 6 + 5 + 7

P = 30 cm

Hence, the perimeter of the irregular hexagon is 30 cm.

**Example 4:** Robert purchased a hexagonal prism that has an equal side length of 6 units. Find the perimeter of the hexagonal prism.

**Solution:** The hexagonal prism has six equal sides of 6 units. According to the perimeter of hexagon formula,

P = 6a

P = 6 x 6 [here a = 6 units]

P = 36 units

Hence, the hexagonal prism has a perimeter of 36 units.

Frequently Asked Questions

The perimeter of a hexagon can be calculated by adding all its sides. The perimeter can be found by a simple formula as well, given by, P = 6a, where ‘a’ is the length of each side of a regular hexagon.

The sum of the interior angles of a hexagon is 720 degrees, where each interior angle is 120 degrees. In this case we are taking regular hexagons into consideration.

The perimeter formula for a rectangle is given by, P = 2 (l + w), where l is the length and w is the width of the rectangle.

The perimeter formula of a square is given by, P = 4a, where ‘a’ is the side length of the square.

The perimeter formula of a triangle is given by, P = a + b + c, where ‘a’ and ‘c’ are side lengths and ‘b’ is the base length of the triangle.