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If the perimeter of the hexagon is 72, then each side of the hexagon is 72/6 = 12. Therefore, one side of the square is also 12, since the hexagon and the square share a side, so the area of the square is 12 x 12 = 144 cm.

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Q: If a regular hexagon shares a side with a square and the perimeter of the hexagon is 72 cm what is the area of the square?
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