engaged - adjective

• having ones attention or mind or energy engaged
• involved in military hostilities
• reserved in advance
• (of facilities such as telephones or lavatories) unavailable for use by anyone else or indicating unavailability; (`engaged' is a British term for a busy telephone line)
• (used of toothed parts or gears) interlocked and interacting
• having services contracted for
• built against or attached to a wall

engaged - thesaurus

booked   busy   intermeshed   meshed   occupied