Answer
The width of the floor is 4 meters.
Work Step by Step
Let X represent the width of the floor.
Five times the width of the floor means 5X
2 meters less than five times the width of the floor means 5X - 2
The length of a rectangular floor is 18 meters.
So, we obtain:
5X - 2 = 18
Add 2 to both sides
5X = 20
Divide both sides by 5
X = 4