The color fan

Two congruent rectangles share a vertex. Given that the three coloured areas are equal, what is the width x?

Scroll down for a solution to this problem.


The width x is √3.

Solution by Dr Rick.


The colored fan
In the valley I’m travelling
the landscape nice in the morning
the sun warm bright shining
a star in the sky walking
The clouds are watching
And I of a coloured world am dreaming
Said the fan softly waving


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