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