To find the area of a regular hexagon, you can use the formula:
\[ \text{Area} = \frac{3\sqrt{3}}{2} s^2 \]
where \( s \) is the length of a side of the hexagon.
Given that one side \( s = 4 \), we can substitute this value into the formula:
\[ \text{Area} = \frac{3\sqrt{3}}{2} (4^2) \]
Calculating \( 4^2 \):
\[ 4^2 = 16 \]
Now substitute this into the area formula:
\[ \text{Area} = \frac{3\sqrt{3}}{2} \times 16 \]
\[ \text{Area} = 24\sqrt{3} \]
Therefore, the area of the regular hexagon with a side length of 4 is:
\[ \text{Area} = 24\sqrt{3} \text{ square units} \]