Question: What are the dimensions of the largest rectangular piece that can be cut from a semicircular metal sheet of diameter 6 cm? . . .

What are the dimensions of the largest rectangular piece that can be cut from a semicircular metal sheet of diameter 6 cm? . . . If the rectangular piece's length is longer than its width, the largest rectangular piece has length cm and width cm. (Type exact answers, using radicals as needed.)

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