Henry Ernest Dudeney/Puzzles and Curious Problems/222 - Folding a Pentagon

Puzzles and Curious Problems by Henry Ernest Dudeney: $222$

Folding a Pentagon

Given a ribbon of paper, as in the diagram, of any length -- say more than $4$ times as long as broad --

it can all be folded into a perfect pentagon,

with every part lying within the boundaries of the figure.

The only condition is that the angle $ABC$ must be the correct angle of two contiguous sides of a regular pentagon.

How are you to fold it?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Geometrical Problems: Various Geometrical Puzzles: $222$. -- Folding a Pentagon
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Geometrical Problems: Paper Folding Puzzles: $365$. Strip to Pentagon