Question 1008890
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The number of diagonals of a regular polygon is 56 in. 
Find the perimeter of the polygon if its apothem measures half of the square of its side length.
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It is also a joking problem.


The number of diagonals of a regular polygon can not be 56.

There is no such a polygon.

Such a polygon does not exist.


    Hint: the number of diagonals of a convex  n-gon is   {{{n*(n-3)/2)}}}.

              Try to find a convex polygon with 56 diagonals.

              Or, which is the same, try to find such whole number  n  that   {{{n*(n-3)/2}}} = {{{56}}}.


I just do not pay attention that the number of diagonals in the condition is measured in inches.

Hahaha.


Thank you for this joking problem :)