ANSWER
[tex]x = 22 \: units[/tex]
EXPLANATION
The length of the two chords in the diagram are the same because equal chords are equal distance from the center.
We can see that the two chords are all 12 units from the center.
The line from the center meeting the chords at right angles bisects these chords.
Therefore
[tex]x = 2 \times 11[/tex]
[tex]x = 22 \: units[/tex]
