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Let K and K' be two squares in the same plane, their sides of equal length. Is it possible to decompose K into a finite number of triangles T_1, T_2, \cdots , T_p with mutually disjoint interiors and find translations t_1, t_2,\cdots , t_p such that
K'=\bigcup_{i=1}^{p} t_i(T_i) \ ?

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