Simple flaps do change aerofoil camber, but does not change Wing Area.
Therefore:
Split flaps do not change to upper surface Camber, but do increase to Lower Surface Camber. Similar to simple flaps, there is no change to Wing Area.
Therefore:
Slotted flaps increase Camber, but does not change to Wing Area. They provide a better increase in Lift due Slot.
Therefore:
Fowler flaps increase Camber, and DO increase Wing Area. The increase in wing area is due to the extension of the Chord length.
Therefore: