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Chequered Floor

Problem

A room measuring 5x5 is tiled with a chequered design.


If someone stood in the top left corner of the room and walked around the outside edge, they would step on 8 grey tiles in total.

If they walked around the outside edge of a larger square shaped room, with the same chequered tile floor design, and stood on 148 grey tiles in total, what are the dimensions of the room?

Problem ID: 87 (Nov 2002)     Difficulty: 2 Star

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