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If you are not allowd to cut any and you can disregard the width of the grout between the tiles: 125x = 55y , x and y are integers

5*25x = 5*11y

11*5*25 = 25*11*5 = 1375

A square 13.75 meters on each side using 275 tiles

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Q: What are the dimensions of the smallest square you can make using 55cm by 125cm retangular tiles?
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