engaged >> /ɪnˈɡeɪdʒd/
Definition: [adjective] Busy; occupied.
Example: I told him I was otherwise engaged
Definition: [adjective] Having formally agreed to marry.
Example: she was engaged to a lecturer
Definition: [adjective] (of a column) attached to or partly let into a wall.
Example: Eight pairs of piers, each with an engaged column, were to articulate the lower portico, while the upper portico was to have had eight pairs of freestanding columns.