Squaring Squares

Geometry Level 3

It is indeed the case that

1 2 + 2 2 + ⋯ + 2 4 2 = 7 0 2 . 1^2 + 2^2 + \cdots + 24^2 = 70^2.

However, is it possible to tile 24 24 squares of respective side lengths 1 , 2 , 3 , … , 24 1, 2, 3,\ldots, 24 to form a complete square of side length 70 70 without holes?

Yes No

Agnishom Chattopadhyay by Agnishom Chattopadhyay , 22, India

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