Perimeter of Pentagon and Hexagon

Last updated at April 16, 2024 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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.