P₁P₂P₃P₄P₄P₅ is a regular hexagon. A and B are movable points on P₁P₂ and P₂P₃ respectively.

ABCD is a square with C and D in the same side of AB as P₄. ABC'D' is a square on the other side.

Find the total area of all points that can be on segment CD.

Find the total area of all points that can be on segment C'D'.

(In reply to unlikely solution by Steven Lord)

This GeoGebra drawing should help. 

Posted by Jer on 2022-01-21 09:58:12