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Assuming same side length, the the heptagon with 7 sides will have a greater area than a hexagon with 6 sides.

If the side lengths are not equal, then:

If the side of the hexagon is approx 1.183 times that of the heptagon then the areas are the same.

Thus when the side of the hexagon is less than ~1.183 times that of the heptagon it will have a smaller area; conversely, if the side of the hexagon is more than ~1.183 times that of the heptagon it will have a larger area.

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13y ago
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Q: What has a greater area heptagon or hexagon?
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