In the room you will notice that there are empty spaces among the Riddler floor switches. You may have also noticed the beam of light coming from the ceiling.
Your mission is to shift the rows and columns of floor switches so that the beam of light goes into an empty space. How are you supposed to move these blocks without all of them moving together? That’s where Catwoman comes in.
Have her stand on a Riddler Switch to have all the blocks behind her in that row or column (behind is relative to the direction you’re trying to move them) lock in. Shift the remaining blocks over as needed until the empty space is directly under the light.
Once you accomplish this quickly switch over to Catwoman. The saw-blades on the side of the room will trigger. Just look for the gap and crouch there. They will go back and forth a few times before resting.