Posted by Patrick on Thursday, November 1, 2012 at 1:23am.
since we want a rectangle, the top side to be parallel to the bottom side. So, the rectangle is centered over (0,0).
Let the base of the rectangle extend from -x to x
The area is thus
a = 2xy = 2x(16-x^2)
da/dx = 32 - 6x^2
da/dx=0 when x = 4/√3
the rectangle is thus 8/√3 by 32/3
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