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Intermediate

The residue

A parabola is tangent to two sides of a square and to the hypotenuse of an isosceles triangle. The three tangency points are shown. What fraction of the square is green?

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Solution

The green fraction is 1/8.

Solution by Herbert Kainberger.

Poem

The residue
Can be so much
A rest of food, or of drug
A residue of ceramic
Or parts made of metallic
But I prefer a residue
Of seed of love
Kindness
Goodwill
And happiness
Of caring and forgiving
Rather an overflow of emotions that leads to poetry
And inspiration

Bella

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