All rectangles with an area of 64 have a perimeter given by P(x) = 2x + 128/x,

Question:

All rectangles with an area of 64 have a perimeter given by P(x) = 2x + 128/x, where x is the length of one side of the rectangle. Find the absolute minimum value of the perimeter function on the interval (0, ∞). What are the dimensions of the rectangle with minimum perimeter?

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