Answer
Area of the hexagon is 374.12 square cm
Explanation:
Hexagon has 6 sides
Let n = number of sides
a = length of each hexagon
a = 12 cm
The area of a hexagon is given below
[tex]\begin{gathered} A\text{ = 3}\frac{\sqrt[]{3}}{2}a^2 \\ a\text{ = 12cm} \\ A\text{ = 3}\frac{\sqrt[]{3}}{2}\cdot12^2 \\ A\text{ = 3 }\frac{1.732}{2}\cdot\text{ 144} \\ A\text{ = }\frac{5.196}{2}\cdot\text{ 144} \\ A\text{ = }2.598\cdot\text{ 144} \\ A\text{ = }374.12cm^2 \end{gathered}[/tex]
Therefore, the area of a hexagon is 374.12 square cm
