Question

if 'x' is a side of a regular octagon,find its perimeter in the form of algebraic expression

Answer 1

you can easily find out the perimeter of any regular polygon...

Following are the regular ploygons
Equilateral triangle
Square
Regular pentagon , Hexagon , Heptagon , Ocragon etc..

Perimeter of any polygon ( Regular or Irregular ) = the sum of all the sides

All the sides are equal in regularal polygon...so if side of an euilateral triangle be x then its perimeter =
X+ X+ X = 3X i.e 3 x Side

For Square of side x its perimeter will be
X + X + X + X = 4X i.e 4 x Side..

Simillarly, For Regular octagon of sidd x its perimeter will be X+X+X+X+X+X+X+X= 8X i.e, 8 x Side