If a rectangle is inscribed in an equilateral triangle of side length 2√2 as shown in the figure, then the square of the large

If a rectangle is inscribed in an equilateral triangle of side length 2√2 as shown in the figure, then the square of the largest area of such a rectangle is_______.

If a rectangle is inscribed in an equilateral triangle of side length 2√2 as shown in the figure, then the square of the largest area

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