NaftulyW562506 NaftulyW562506
  • 25-10-2022
  • Mathematics
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A regular hexagon has sides 2 feet long. What is the exact area of the hexagon? What is the approximate area of the hexagon?

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ClairaS170422 ClairaS170422
  • 25-10-2022

The formula for the area of a hexagon is

[tex]A=\frac{3\sqrt[]{3}}{2}s^2[/tex]

where 's' is the length of one side of the regular hexagon.

The side of our regular hexagon is 2 feet, therefore, its area is

[tex]\begin{gathered} A=\frac{3\sqrt[]{3}}{2}\cdot(2)^2=6\sqrt[]{3} \\ 6\sqrt[]{3}=10.3923048454\ldots\approx10 \end{gathered}[/tex]

The exact area of the hexagon is 6√3 ft², which is approximately 10 ft².

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