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Maximal Rectangle (Posted on 2019-12-30) Difficulty: 3 of 5
Consider a convex quadrilateral whose diagonals have lengths p,q and whose area is A.

What is the maximum area of a rectangle that circumscribes the given quadrilateral?

No Solution Yet Submitted by Danish Ahmed Khan    
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re: a start | Comment 2 of 4 |
(In reply to a start by Larry)

Nice formula for the quadriliteral... One observation is, that if you do a small parallel motion for one of the diagonals, the area of the circumscribing rectangle stays the same, provided no diagonal hits a rectangle corner.

  Posted by JLo on 2020-01-07 15:46:16

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