Question

find the perimeter of each polygon. 1

Explanation:

Step1: Identify the polygon type

The polygon is a regular hexagon (all sides equal, as indicated by the tick marks). A regular hexagon has 6 equal sides.

Step2: Recall the perimeter formula for a regular polygon

For a regular polygon with \( n \) sides of length \( s \), the perimeter \( P \) is given by \( P = n \times s \). Here, \( n = 6 \) (hexagon) and \( s = 12 \, \text{cm} \).

Step3: Calculate the perimeter

Substitute \( n = 6 \) and \( s = 12 \, \text{cm} \) into the formula: \( P = 6 \times 12 \).
\( 6 \times 12 = 72 \)

Answer:

The perimeter of the regular hexagon is \( 72 \, \text{cm} \).