Two line segments and three rectangles, two of which have a given area. What is the yellow area?

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## Solution

The yellow area is 3.

The crux is noting that the two triangles below the rectangles are similar, as are the ones above. This gives rise to two equations: b/c=d/e and a/d=c/f. This can be combined to abef=c^{2}d^{2}. In other words AC=B^{2}. In this case C=36/12=3.

Note that the equations also give a/b=e/f. In other words, the blue and yellow rectangle are similar.

## Poem

Just a psychedelic experience

with a good friend mescaline

to get perception and acknowledging

and better understanding

for mysteries and reasoning

in higher and higher awareness

Aldous saw Adam in the morning

Miss mescaline at work was inhibiting

Words of poetry evocating