Rimmed

The witch wore a wide rimmed hat and black robes.

Therewith the royal sceptre, which of yore / Ilione, Priam's eldest daughter, bore; / her shining necklace, strung with costly beads, / and diadem, rimmed with gold and studded o'er / with sparkling gems. Thus charged, Achates heeds, / and towards the ships forthwith in eager haste proceeds.

He wore gold rimmed pince-nez.

Victorian hosts entertained in a gloomy drawing room crowded with elaborately patterned wooden chairs, thick carpets, massive mirrors rimmed with gold, sparkling silver cutlery and polished ebony tables.

Near-synonyms: (sometimes synonymous) brimmed, lipped, ledged