The length of a rectangle room is 4 meters . if it can be partitioned into two equal square rooms . what is the length of each partition in meters?

Let the width of the room be x members
Then, its area = (4x) m²
Area of each new square room = (2x)m²
Let the side of each new room = y meters
Then, y² = 2x
Clearly, 2x is a complete square when x=2
∴ y² = 4
⇒ y = 2 m .