Question

Calculate the area of the regular hexagon ABCDEF.

Answer 1

Answer:

B. 259.8 u²

Step-by-step Explanation:

The area of a regular hexagon is given as:

$Area = \frac{3\sqrt{3} }{2} a^{2}$

Where a = side length of the hexagon

Thus, the area of the regular hexagon with a given side length, a = 10, is calculated as follows:

$Area = \frac{3\sqrt{3} }{2} a^{2}$

$Area = \frac{3\sqrt{3} }{2}* 10^{2}$

$= \frac{3\sqrt{3} }{2}* 100$

$= \frac{3*1.7321 }{2}* 100$

$= \frac{5.1963 }{2}* 100$

$= \frac{519.63 }{2}$

$Area = 259.815$

The area of the regular hexagon ≈ 259.8 u²