Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long

Regular hexagon consists of 6 congruent triangles.

So the area, A, of the regular hexagon is 6 x the area of one triangle

The area of a triangle is half the base times the height

The height of a triangle is the apothem of the hexagon and the base is the side of the hexagon.

A = 6 * 10.4 * (12/2) yard^2 = 374.4 yard^2