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Could you please show me the clear and specific steps and answer to solve this Max/Min Problem question below? Thank you so much :) A

Could you please show me the clear and specific steps and answer to solve this Max/Min Problem question below? Thank you so much :)

A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y = -4x2 + 12x. Find the dimensions of the rectangle with the greatest possible area

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