The easier way or the tougher one? Which to choose?

Geometry Level 2

A rectangle, which is not a square, has sides with lengths as integers, measured in centimeters. If its perimeter is n centimeters and its area is n squared centimeters, determine n.

Note: this problem was not created by me. It is from the Brazilian Maths Olympiad (OBM, of the year 2013).

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