The sides of a regular hexagon is 16ft. What is the area of the hexagon?
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Answer:
665.1
Step-by-step explanation:
The formula for an area of a hexagon is [tex]\frac{3\sqrt{3}}{2}S^{2}[/tex]
the S (side) is 16 so,
[tex]\frac{3\sqrt{3}}{2}16^{2}[/tex]
=[tex]\frac{3\sqrt{3} }{2}256[/tex]
=[tex]3\sqrt{3}[/tex] × 128
= [tex]384\sqrt{3}[/tex]
round to the nearest sq. rt. means that you have to round to the nearest tenth, or 0.1
[tex]384\sqrt{3}[/tex] is 665.10751 as a decimal
665.1 as rounded. Therefore, the area of the hexagon is 665.1 sq ft