Answer: [tex]24\sqrt{3}in^2[/tex] or [tex]41.56in^2[/tex]
Step-by-step explanation:
You can find the area of a regular hexagon with the following formula:
[tex]A_{(hexagon)}=\frac{3\sqrt{3}s^2}{2}[/tex]
Where "s" is any side of the regular hexagon.
For this hexagon you know that the length of each side is 4 inches. Then, you must substitute [tex]s=4in[/tex] into the formula [tex]A_{(hexagon)}=\frac{3\sqrt{3}s^2}{2}[/tex].
Therefore, the area of this regular hexagon is:
[tex]A_{(hexagon)}=\frac{3\sqrt{3}(4in)^2}{2}[/tex]
[tex]A_{(hexagon)}=24\sqrt{3}in^2[/tex] or [tex]A_{(hexagon)}=41.56in^2[/tex]
