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.

Explanation:

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

`A=(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=(48mm*4√(3)mm)/(2)\\A=166mm^(2)`