Mathematics

Problem

If a rectangle is inscribed in an equilateral triangle of side length

2\sqrt{2}

as shown in the figure, then the square of the largest area of such a rectangle is ________. [JEE-MAIN ONLINE-2021] ![Diagram showing an equilateral triangle with a rectangle inscribed such that the base of the rectangle lies on the base of the triangle and the top corners of the rectangle touch the slanted sides of the triangle.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/b66ab04e87b4426d8efb64109eafe66e/935eed7aa61f7777f62cfc032e11bee9_img.jpg)

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