A company that specialises in fitting false ceilings uses a design based on 1m2 ceiling tiles arranged in a grid.
Each tile is supported by metal strips that slot together.
Find the total length of metal strips required to fit this design in a room measuring 3 m by 4 m.
Consider the 4x3 grid.
The grid consists of 5 vertical strips of 3 units and 4 horizontal strips of 4 units.
So total length of metal strips = 5 3 + 4 4 = 15 + 16 = 31 m.
What if the room measured m x n?
What if m or n are not integers?