Question

The length of a side of the regular polygon shown below is (x + 1) units. What is its perimeter in the same units?​

Answer 1

Answer:

It depends on the number of sides the polygon has. But if the number of sides  the polygon has is n, then the perimeter is n(x+1), or nx + n

Step-by-step explanation:

If (x+1) is one side, (x+1) × n = perimeter.

n(x+1) = nx + n

Answer 2

Given: Length of a side of a regular polygon$=(x+1) units$

To find: Perimeter of the regular polygon.

Solution:

Know that, All the sides of a regular polygon are equal to each other.

Assume that the polygon n sides.

Perimeter of a regular polygon

$=$ total number of sides × Length of one side

$\[\begin{array}{l} = n \times \left( {x + 1} \right)units\\ = n\left( {x + 1} \right)units\end{array}\]$

Hence, the perimeter of the regular polygon is $\[ n\left( {x + 1} \right)units\]$.