ward, district
區 centers on a bounded area or division: a ward, district, or section set apart from others.
區 is the older form of 区. It combines 匚 (enclosure) with 品 (goods, items), suggesting a container or bounded area for storing things, which extended to mean a division or ward.
Picture an enclosure 匚 holding three boxes 品, each representing a separate ward or district within a larger area.
For ク, imagine a cool district where everyone wears cool clothes: cool -> ク, and the enclosure 匚 keeps the cool style inside.
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