Hello!
To find the area of a hexagon you use the equation
[tex] \frac{3 \sqrt{3} }{2} a^{2} [/tex]
a is a side length
Put in the values we know
[tex]\frac{3 \sqrt{3} }{2} 4^{2}[/tex]
Simplify
[tex]24 \sqrt{3} = 41.57[/tex]
The answer is 41.57
Hope this helps!