Dido's Problem/Variant 1/Proof 2

Problem

Consider a frame consisting of $4$ rods freely hinged at their ends:



When will the area enclosed by the frame be a maximum?


Solution

When the quadrilateral formed by the frame is cyclic.


Proof

This problem is a direct application of the result:

Area of Quadrilateral with Given Sides is Greatest when Quadrilateral is Cyclic

$\blacksquare$

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