Square ABCD has K on BC, L on DC, M on AD, and N on AB such that KLMN forms a rectangle, AAMN and ALKC are congruent isosceles triangles, and also AMDL and ABNK are congruent isosceles triangles. If the total area of the four triangles is 50 cm², what is the length of MK? A N # M D L

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