Answer:
280.6 [tex]m^2[/tex]
Step-by-step explanation:
find the length of each side:
you're only given h = 9 m
the formula for h is [tex]h=\frac{\sqrt{3} }{2} *a[/tex], where a is a side length of the hexagon
plug h in:
[tex]9=\frac{\sqrt{3}}{2}*a\\\\a=9*\frac{2}{\sqrt{3}}\\\\[/tex]
a ≈ 10.392 m
now find the area of a triangle:
1/2 (10.392)(9) = 46.764 [tex]m^2[/tex]
multiply that by 6 and you get 280.584 ≈ 280.6 [tex]m^2[/tex]
you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: [tex]\frac{3\sqrt{3} }{2} *a^2[/tex]
