Go east and use the hook to reach the top of the metal gate. It is a good idea to attacks the prisoners gathered at the nearby yard, from here, by throwing them a concussion detonator or a glue grenade or sabotage the gun one of them has, using the disruptor. After the fights start, try first of all, to knock the weapon out of the armored enemy's hand. Also, later throughout the fight, make sure that nobody is capable of conducting fire effectively.
After you disarm this bandit, focus mainly on the weaker enemies, although you should also watch out for the attacks of the enemies equipped with shields and stun guns. To the extent possible, you should also use batarangs to stop the enemies from throwing propane tanks and other big objects at Batman. Attack the better equipped inmates only after the shock gloves charge, because you will then not have to use the stun moves with the cape, nor perform additional leaps (also in the case of the inmate with the stun gun). After the fight, listen to the conversation with the prison wardens that you have just saved.
[New challenges: Campaign challenge]
[New challenge: Custom challenges]