Explanation
To find the size of the largest square slabs, we need to find the greatest common divisor (GCD) of the length and breadth of the room.
First, let's convert the length and breadth to centimeters:
Length = 5 meters 44 cm = 544 cm
Breadth = 3 meters 74 cm = 374 cm
Now, we find the GCD of 544 and 374:
GCD(544, 374) = 34
So, the size of the largest square slabs that can be paved on the floor is 34 cm x 34 cm.