Select the most appropriate meaning of the underlined idiom in the given sentence.

I cannot take up any new assignment as I have my hands full.

am very busy

The most appropriate meaning of the underlined idiom in the given sentence is am very busy.

The idiom "have one's hands full" means to be very busy or occupied. It is often used to describe someone who has a lot of work to do or a lot of commitments.

In the sentence, the speaker is saying that they are unable to take on any new assignments because they are already very busy with their current work. They do not have the time or resources to take on anything else.