For this case we have that by definition, the area of a regular hexagon is given by:
[tex]A = 6 (\frac {L ^ 2 * \sqrt {3}} {4})[/tex]
Where:
L: It is hexagon side
According to the data of the statement we have:
[tex]L = 2 \ ft[/tex]
Substituting:
[tex]A = 6 (\frac {2 ^ 2 * \sqrt {3}} {4})\\A = 6 (\frac {4 * \sqrt {3}} {4})\\A = 6 \sqrt {3}\\A = 10.4[/tex]
Thus, the area of the hexagon is [tex]10.4 \ ft ^ 2[/tex]
Answer:
The area of the hexagon is[tex]10.4 \ ft ^ 2[/tex]
