Hello, can I please have help on how to find the area of a hexagon by knowing the apothem is 4 and the square root of 3? Thank you!

The hexagon consists of six equilateral triangles, each with

height (the apothem) 4√3
base 8

Now you can easily get the area.

To get the base, review the properties of equilateral or 30-60-90 triangles.