Hexagon + Octagon in a rectangle
A rectangle is cut by segments parallel to its sides into a hexagon and an octagon as shown in the diagram (not drawn to scale).
The lengths of the sides of the octagon are 1, 2, 3, 4, 5, 6, 7 and 8 units in some order. The maximum area, in square units of the hexagon is :
Note: In the diagram, the green represents a hexagon whereas blue represents the octagon
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