Perimeter of Pentagon and Hexagon

Chapter 10 Class 6 Mensuration
Concept wise

We know that

Pentagon has 5 sides

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

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,

Here,

AB = BC = CD = DE = AE = a = 6m

Perimeter of regular pentagon = 5a

= 5 × 6

= 30 m

#### And that of a regular hexagon is,

Here,

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

Perimeter of regular hexagon = 6a

= 6 × 6

= 36 m

Made by

#### Davneet Singh

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.