Undoing a pentagon

Geometry Level 3

A white rectangular paper \(ABCD\) with an area of \(20\text{ cm}^2 \) is bent as shown, forming a pentagon \( BCD'EF\) with an area of \(14 \text{ cm}^2 \). If we paint both sides of this pentagon in blue and undo the fold, the rectangle will have an unpainted area. What is the area of this region?

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