Inscribed Rectangle, Pre-Calculus?

Physics

New member
Find the dimensions that give the largest area for a rectangle lying evenly between the first and second quadrant. Its base is on the x-axis and its other 2 vertices are above the x-axis and lying on the parabola y = 8 - x^2.

I have no idea where to start. Try to explain why I would do a calculation as well as show work.
 
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