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Answer:
it's 166.277
Step-by-step explanation:
i took the test & got it right
Area of the regular hexagon is 166.3 square meter.
A regular hexagon exists comprised of six equilateral triangles.
Area of an equilateral triangle is [tex]$\frac{\sqrt{3}}{4} \cdot s^{2}$[/tex].
Therefore, area of a regular hexagon exists
[tex]$6 \cdot \frac{\sqrt{3}}{4} \cdot s^{2}=3 \sqrt{3} \cdot \frac{s^{2}}{2}$[/tex]
where, s = m exists the length of a side of the regular hexagon.
Area of the regular hexagon is
[tex]$A_{h}=\frac{3 \cdot \sqrt{3} \cdot 8^{2}}{2}$[/tex]
[tex]$=96 \cdot \sqrt{3} \approx 166.3$[/tex] square meter.
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