A rectangle is split by two perpendicular lines. The four circles pass through vertices and intersection points. Their centres form a purple quadrilateral. What fraction of the large rectangle area does it cover?
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Solution
The purple fraction is 1/3.

Poem
Purple is a colour of majesty
The colour I like to see
I can see purple in my dreams
And for all the best it seems
You can see sometimes in your day
It’s like a sunshine that will always stay
Purple makes tumult in the heart
It helps so well the day to start
