Jewel
In a competition for the most beautiful jewel, a jewel with the following description won: on a silver plate in the shape of a square, four identical ruby rhombuses are mounted. The rhombuses touch with their vertices at the midpoints of the sides of the square, the length of each of them is one sixth of the diagonal of the square. Each ruby rhombus covers an area of 3 square cm. How long is the side of the silver plate?
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