Stationery

Material A
Woods.

Appropriate disposal: Recycling.

It will be turned into wood mush! That will then be used for various other products such as biofuel and recycled wood flooring.

Material B
Plastics.

Appropriate disposal: Recycling.

Plastics can be melted down as well, however not all recycling plants have the appropriate equipment, but chances are that they will pass that down to plants that can.

Best Alternative
Keep using them! Hanging your clothes dry avoids using the energy that a dryer would and helps your clothes live a longer life.