If the side length triples, the area will be 9 times as much.
To see this......the area of each triangle of a regular hexagon is given by (1/2) (S)( A) where S is the side and A is the apothem. But, in a hexagon with a tripled side length, every other dimension will be similarly tripled.
So......the area of a single triangle in this "tripled" hexagon will be
(1/2)(3S)(3A) = 9* (1/2)(S)(A) = 9 times the "regular" hexagon
If the side length triples, the area will be 9 times as much.
To see this......the area of each triangle of a regular hexagon is given by (1/2) (S)( A) where S is the side and A is the apothem. But, in a hexagon with a tripled side length, every other dimension will be similarly tripled.
So......the area of a single triangle in this "tripled" hexagon will be
(1/2)(3S)(3A) = 9* (1/2)(S)(A) = 9 times the "regular" hexagon