Answer: [tex]93.53\ cm^2[/tex]
Step-by-step explanation:
Given
The side of the hexagon is [tex]a=2\ cm[/tex]
If it enlarged with scale factor 3 i.e. each side is 3 times before
The new side of the hexagon is [tex]a'=3\times 2=6\ cm[/tex]
The area of the hexagon is
[tex]A=\dfrac{3\sqrt{3}}{2}a^2[/tex]
Putting values we get
[tex]\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 6^2\\\\\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 36=54\sqrt{3}\ cm^2\\\\\Rightarrow A=93.53\ cm^2[/tex]
