ward, district
区 centers on a bounded area or division: a ward, district, or section set apart from others.
区 combines 匚 (a container or enclosure) with 㐅, which likely represents a dividing mark. Together they suggest a partitioned area or section.
The outer 匚 is like a box or boundary, and the inner 㐅 looks like a dividing mark. Picture a city map with a box drawn around one ward, marked with an X to show the district.
For ク, imagine a cool district in the city where everyone goes to hang out: cool -> ク, and the ward is the coolest part of town.
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ward; borough; city (in Tokyo)
district; area; zone; quarter; section; region
distinction; differentiation; discrimination; difference
area; zone; district; quarter; section; limits; boundary
division; section; demarcation; partition; segmentation; compartment; (traffic) lane
division; section; compartment; block; plot; lot; partition; boundary
section (of track, etc.); segment; dimension
in a ward; within the ward
pause (in speech, writing, etc.); punctuation
ward residents
to divide; to separate; to partition; to demarcate; to delimit; to mark off
head of a ward; mayor of a ward; chief administrator of a ward
ward office; council (regional)
school district; school area
jurisdiction
established by a ward; ward; municipal
ward assemblyman
small electoral district; single-member constituency
special ward; administrative subdivision of a prefecture that has a directly elected mayor and assembly
district meteorological observatory
mining area; mine lot