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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.

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