Answer:
or
![41.56in^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kpw793sr4li7s2nmnza1qup9kavnjo3496.png)
Explanation:
You can find the area of a regular hexagon with the following formula:
![A_((hexagon))=(3√(3)s^2)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j6rk3e2diffjfye2j27742wwcksiize9bw.png)
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
into the formula
.
Therefore, the area of this regular hexagon is:
![A_((hexagon))=(3√(3)(4in)^2)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pcfwanubo6qu1fhsgx8ln44l3ryabcchjn.png)
or
![A_((hexagon))=41.56in^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3qwdtih911odn4k5plhnb6lgd1ua1w5j0d.png)