For this case we have that the initial measurement of the rope is:
[tex]x_ {i} = 6 \ m[/tex]
If a piece measuring 1.21 meters long is cut we have that the final measurement of the rope will be:
[tex]x_ {f} = x_ {1} -1.21\\x_ {f} = 6-1.21\\x_ {f} = 4.79[/tex]
Thus, the final measurement of the rope is [tex]4.79 \ m[/tex]
Answer:
4.79 meters