Question
The image below shows a regular 14-sided polygon. The shaded rectangle is created from two opposite sides of the shape.
What is the ratio of the area of the rectangle to the area of the whole polygon?
Write the answer as p:q where p and q are coprime.
As always, this is adapted from a Mathematics Competition.
I'm not sure I wish to give a hint...
;-)
erm... the hint is that, being a competition question, calculators are not allowed.
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