Пре­об­ра­зуй­те, если это не­об­хо­ди­мо, слово WEAR так, чтобы оно грам­ма­ти­че­ски со­от­вет­ство­ва­ло со­дер­жа­нию тек­ста.

Overweight people __________________ sweaters in order to lose some weight. They sweated profusely in warm sweaters, that is why this item of clothing got such a name.