Step-by-step explanation:
:
The area of the regular hexagon is approximately 70.25 square inches.
Here's how we calculated it:
1. We used the formula for the area of a regular hexagon: Area = (6 * side_length^2) / (4 * tan(60°))
2. We plugged in the given side length of 5.2 inches and calculated the tangent of 60°.
3. After simplifying the equation, we obtained the answer of approximately 70.25 square inches.
Please let me know if you have any other questions or if there's anything I can clarify further.