Question: A rectangle is drawn in the first and second quadrants so that the base lies on the x-axis, upper left corner on the line y=2x+6,

A rectangle is drawn in the first and second quadrants so that the base lies on the x-axis, upper left corner on the line y=2x+6, top right corner is on the line y=-2x+6. Draw a diagram. Find the maximum area of such a rectangle.

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