The formula to find the area of a regular hexagon is A = (3ā3 x s^2)/2, where s is the length of a side.
Given that the apothem length is 10.4 yards, we can use the formula for the apothem of a regular hexagon, which is apothem = s/2 x ā3, to find the length of a side.
10.4 = s/2 x ā3
20.8 = sā3
s ā 20.8/ā3
s ā 12 yards
Now we can plug the side length into the formula for the area of a regular hexagon:
A = (3ā3 x (12)^2)/2
A = (3ā3 x 144)/2
A = (432ā3)/2
A = 216ā3
A ā 374.8
Therefore, the area of the regular hexagon is approximately 374.8 square yards.