The room is 1 meter longer than it is wide it's perimeter is 14 meters Find the width in meters?

Assume the room is rectangular.

If the width is w then the length is w + 1. The perimeter is 2w + 2(w + 1) = 4w + 2.

4w + 2 = 14 : 4w = 12 : w = 3 meters