Question

question 17 of 25 which expression gives the perimeter of the regular hexagon shown below? image of a regular hexagon with one side labeled ( x )

a. ( x + 6 )

b. ( \frac{x}{6} )

c. ( 6x )

d. ( x^6 )

Explanation:

Step1: Recall perimeter of regular polygon

A regular hexagon has 6 equal - length sides. The formula for the perimeter \( P \) of a regular polygon is \( P=\text{number of sides}\times\text{length of one side} \).

Step2: Apply formula to regular hexagon

For a regular hexagon, the number of sides \( n = 6 \), and the length of one side is given as \( x \). So the perimeter \( P=6\times x = 6x \).

Answer:

C. \( 6x \)