The open book

Three squares share four vertices. What is the proportion of the line segment lengths a and b?

Scroll down for a solution to this problem.


The proportion a : b is 1 : 2.

Solution by Dr Rick.

Visual solution

Solution without words by David Andriana.


The open Book
Has on it’s sides
Many stories
And contains like a magic box
Feelings, poetry and novels
People read me more and more
And love me as an author
Sometimes awake
Sometimes I sleep
On shelves at home
Or in libraries were I become
With neighbours
Famous or ignored


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