Question

Help! This is due today and I'm stuck on this problem.

Answer 1

Answer:

280.6 $m^2$

Step-by-step explanation:

find the length of each side:

you're only given h = 9 m

the formula for h is  $h=\frac{\sqrt{3} }{2} *a$, where a is a side length of the hexagon

plug h in:

$9=\frac{\sqrt{3}}{2}*a\\\\a=9*\frac{2}{\sqrt{3}}$

a ≈ 10.392 m

now find the area of a triangle:

1/2 (10.392)(9) = 46.764 $m^2$

multiply that by 6 and you get 280.584 ≈ 280.6 $m^2$

you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: $\frac{3\sqrt{3} }{2} *a^2$

Answer 2

280.6m2 is the correct answer