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  • 17-11-2019
  • Mathematics
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Find the area of a regular hexagon with a side length of 4cm an apothem of approximately 3.5 cm

Find the area of a regular hexagon with a side length of 4cm an apothem of approximately 35 cm class=

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jdoe0001 jdoe0001
  • 17-11-2019

HEXA = 6, 6 sides, thus the hexagon has 6 sides, each side is 4 cm long, thus that gives us a perimeter of 6 * 4 = 24.

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ p=24\\ a=3.5 \end{cases}\implies A=\cfrac{1}{2}(3.5)(24)\implies A=42[/tex]

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