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For a regular hexagon, half the side length can be calculated from the apothem via trigonometry:

half_side_length = apothem x tan 30°

Then:

area = apothem x 1/2 x perimeter

= apothem x 1/2 x side_length x 6

= apothem x half_side_length x 6

= 24 in x (24 in x tan 30°) x 6

≈ 1995 sq in

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Q: What is the area of a regular hexagon with apothem length of 24 inches?
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