What is Take up ?
Take up is (verb) 1. to occupy or to fill a space This settee takes up too much room. Being in charge of the staff sports club takes up too much of my time. 2. to remove something which was down You will need to take up the rugs if you want to polish the floor. 3. to start to do a certain activity She was over fifty when she took up long-distance running. 4. to take someone up on something to accept an offer made by someone He asked me if I wanted two tickets to Wimbledon and I took him up on his offer. 5. to make something such as a skirt or dress shorter Can you take up the hem of this coat?
source: Easier English, Student Dictionary Upper Intermediate Level