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Summing Consecutive Numbers

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Always the Same

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Hallway Borders

Age 11 to 14 Challenge Level:

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 take a look here at possible follow-up extension questions.