Sunday Times 2836 - totally lost

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Christopher Wheeler

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Jan 31, 2017, 3:37:05 AM1/31/17
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Hi

Does anybody has the solution to 2836?

Alice had a large collection of one centimetre square tiles. She used them to make a set of some larger squares of different sizes, all with sides of less than a metre. When I saw these squares I removed one corner tile from each. Then, for each mutilated shape, Alice moved the minimum number of tiles to transform it into a rectangle. Overall she moved two hundred tiles. This resulted in a set of rectangles all of whose sides were a prime number of centimetres long.

What (in increasing order) were the lengths of the sides of her original squares?

Cactus

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Jan 31, 2017, 3:40:16 AM1/31/17
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Squares with sides 30, 42, 60 and 72. 
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