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Find me area of the regular hexagon if the apothem is 4sqrt3 mm and a side is 8mm. Round the the nearest whole number.
Answer options: 245, 407, 333, 166

Find me area of the regular hexagon if the apothem is 4sqrt3 mm and a side is 8mm Round the the nearest whole number Answer options 245 407 333 166 class=

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carlosego

Answer: THE LAST OPTION.

Step-by-step explanation:

 To calculate the area of the regular hexagon you must apply the following formula:

[tex]A=\frac{P*a}{2}[/tex]

Where P is the perimeter and a is the apothem.

The perimeter is:

[tex]P=6*s[/tex]

Where s is the lenght of a side.

Then:

 [tex]P=6*8mm=48mm[/tex]

Then, the area is:

[tex]A=\frac{48mm*4\sqrt{3}mm}{2}\\A=166mm^{2}[/tex]