Radhey has divided a square up into finitely many white and red rectangles, each with sides
parallel to the sides of the square. Within each white rectangle, she writes down its width
divided by its height. Within each red rectangle, she writes down its height divided by
its width. Finally, she calculates x, the sum of these numbers. If the total area of the
white rectangles equals the total area of the red rectangles, what is the smallest possible
value of x?
parallel to the sides of the square. Within each white rectangle, she writes down its width
divided by its height. Within each red rectangle, she writes down its height divided by
its width. Finally, she calculates x, the sum of these numbers. If the total area of the
white rectangles equals the total area of the red rectangles, what is the smallest possible
value of x?
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