If perimeter of a regular hexagon is 108 cm, what is the length of its sides ?

Answer

To find the length of each side of a regular hexagon given its perimeter, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Perimeter of a Hexagon**:
The perimeter \( P \) of a regular hexagon can be calculated using the formula:
\[ P = 6 \times \text{side length} \]
where the side length is the length of one side of the hexagon.

2. **Given Perimeter**:
We know from the problem that the perimeter \( P \) is 108 cm.

3. **Set Up the Equation**:
Substitute the given perimeter into the formula:
\[ 108 = 6 \times \text{side length} \]

4. **Solve for Side Length**:
To find the side length, divide both sides of the equation by 6:
\[ \text{side length} = \frac{108}{6} \]

5. **Calculate the Value**:
Now perform the division:
\[ \text{side length} = 18 \text{ cm} \]

### Conclusion:
The length of each side of the regular hexagon is **18 cm**.