Copyright © University of Cambridge. All rights reserved.

## 'Hallway Borders' printed from http://nrich.maths.org/

The hallway floor is rectangular in shape.

Its length and breadth are whole numbers of feet.

The hallway is tiled and each tile is one foot square.

Given that the number of tiles around the perimeter is EXACTLY
half the total number of tiles, find the possible dimensions of the
hallway.

Now have a look in
Notes to see how this could be extended for work at Stages 2, 3
& 4.