Perimeter of Pentagon and Hexagon

Last updated at July 21, 2026 by

We know that

Pentagon has 5 sides

24.jpg

 

Here we talk about Regular pentagon

Regular pentagon has all sides equal

∴  AB = BC = CD = DE = AE = a

 

Now,

  Perimeter = Sum of all sides

          = AB + BC + CD + DE + AE

                         = a + a + a + a + a

                         = 5a

 

Hexagon

We know that

Hexagon has 6 sides

Perimeter of Pentagon and Hexagon - Part 2

 

Here we talk about Regular hexagon

Regular hexagon has all sides equal

∴  AB = BC = CD = DE = EF = FA = a

 

Now,

  Perimeter = Sum of all sides

   = AB + BC + CD + DE + EF + FA

   = a + a + a + a + a + a

   = 6a

 

An example of regular pentagon is,

Perimeter of Pentagon and Hexagon - Part 3

 

Here,

  AB = BC = CD = DE = AE = a = 6m

Perimeter of regular pentagon = 5a

        = 5 × 6

        = 30 m

 

And that of a regular hexagon is,

Perimeter of Pentagon and Hexagon - Part 4

 

Here,

  AB = BC = CD = DE = EF = AF = a = 6m

 

Perimeter of regular hexagon = 6a

 = 6 × 6

 = 36 m

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