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Such a hexagon is impossible. A regular hexagon with sides of 2 cm can have an apothem of sqrt(3) cm = approx 1.73.

It seems you got your question garbled. A regular hexagon, with sides of 2 cm, has an area of 10.4 sq cm. If you used your measurement units properly, you would have noticed that the 10.4 was associated with square units and it had to refer to an area, not a length.

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Q: What is the area of a regular hexagon with a side length of 2 centimeter and an apothem length of 10.4 centimeters?
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Related questions

What is the apothem of a regular hexagon with a radius of 12 centimeters Round to the nearest tenth?

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