Question

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

Answer 1

Answer: THE LAST OPTION.

Step-by-step explanation:

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

$A=\frac{P*a}{2}$

Where P is the perimeter and a is the apothem.

The perimeter is:

$P=6*s$

Where s is the lenght of a side.

Then:

 $P=6*8mm=48mm$

Then, the area is:

$A=\frac{48mm*4\sqrt{3}mm}{2}\\A=166mm^{2}$