Let's analyze each option to find which transformation generates a hexagon with a greater area:
1)
A translation is a transformation that doesn't change the image shape or size, therefore the area is the same.
2)
A dilation by a scale factor smaller than 1 will reduce the figure, therefore the area will be smaller.
3)
A rotation, just like the translation, doesn't change the image shape or size, therefore the area is the same.
4)
A dilation by a scale factor greater than 1 will make the image bigger, therefore the area will be greater.
So the correct option is the fourth one.
