A regular hexagon is folded back and forth along the dotted line. What fraction of the area is yellow?

Scroll down for a solution to this problem.

## Solution

The yellow fraction is 11/16.

It is easily seen that the dotted line cuts the sides on 3/4. One can then dissect the figure in equilateral triangles of side 1/4 as shown. It is now a matter of counting 66 yellow triangles on a total of 96.

## Poem

Bobline haircut for a fighting lady

Like Joan of Arc, the Virgin, the heroe

She was fighting for France

For freedom with her lance

And steel on her hair

To go anywhere

The young lady

Coming from Domremy

Giving France liberty

She left to save her country

An angel holly !