DIAL up a FRIEND.

Geometry Level pending

Let DIAL, FOR, and FRIEND be regular polygons in the plane.

The figure shown below lists all the possibilities of triangle OLA: O1L1A1, O2L2A2, and O1L2A2

If ID = 1, and if the product of all possible areas of OLA can be expressed as 1/a,

Find a


The answer is 32.

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