A rectangle with two crossing line segments. What’s the minimal shaded fraction?

Scroll down for a solution to this problem.

## Solution

The minimal shaded fraction is √2-1, which is approximately 41,4%.

## Poem

The hour glass, a counting down

Made of sand

Heir of the clepsydra from Babylon

A sandtimer and 2 bulbs

Measuring our time and duration

Anywhere, regardless of orientation

Counting minutes, hours and seconds.

Sands of time run out for human condition

Using time

But not waste it!