Answer: 42 square units
Step-by-step explanation
The apothem goes from the center of the hexagon to the midpoint of the side of the hexagon.
I'll assume we have a regular hexagon where all sides are the same length. This allows us to split the hexagon into 6 congruent equilateral triangles.
Each triangle has area of 7 square units because of the scratch work below.
area = 0.5*base*height
area = 0.5*4*3.5
area = 7
This is the area of one of those triangles. There are 6 congruent copies, so the total area is 6*7 = 42 square units.