Question

each side of a regular polygon is 8.1 cm long the perimeter of the polygon is 72.9 cm find the number of sides of the polygon

Answer 1

$\textbf{Answer}$

$\textbf{Regular polygon}$ is a polygon that has all sides of same length as well as all angles of same measures.

$\textbf{We are given following values,}$
Length of each side = 8.1 cm
Perimeter of the polygon = 72.9 cm

$\textbf{We know that in a regular polygon,}$
Perimeter = (Number of sides) × (Length of each side)

=> 72.9 = (Number of sides) × 8.1
=> Number of sides = 72.9/8.1
=> Number of sides = 9

$\textbf{Given Regular Polygon has 9 sides.}$

$\textbf{Hope My Answer Helped}$
$\textbf{Thanks}$

Answer 2

We know that all sides of a regular polygon are equal,


Let there are x sides,



Perimeter = sum of all sides

72.9 = 8.1 ( x times )

72.9 = 8.1 × x

$\frac{72.9}{8.1} = x$

9 = x




Hence, there are 9 sides.