Please help and show workings!

Step-by-step explanation:

The equation for finding the area of a hexagon with a side length is

insert

and you are left with 162\sqrt{3}

Hope that helps :)

Step-by-step explanation:

we are given a side a polygon

and said to figure out the area

recall the formula of regular polygon

where a represents the length of a side

and n represents the number of sides

the given shape has 6 sides

and has a length of

so our n is 6 and a is 6√3

substitute the value of n and a:

reduce fraction:

simplify square:

reduce fraction:

simplify multiplication:

recall unit circle:

hence, our answer is E

i hope this is what you were looking for.

see attached graph