Pierre de Fermat proved that the area of a Pythagorean triangle is not a square. Here we extend his result for Pythagoran triangles to consider cubic integer areas and higher power areas. We show how each such power �� immediately leads to a Fermat’s equation ��^k + ��^k = ��^k for integer �� > 2 and positive integers ��, ��, and ��. Using only elementary results, we show that a Pythagorean triangle area is not a cube. Using non-elemantary results from Darmon and Merel, we can extend Fermat’s Pythagorean triangle area result to show that these areas cannot be higher powers either. The results from Darmon and Merel are an alternative to using Andrew Wiles more complex result for Fermat Last Theorem to establish the same result - using the impossibility of the Fermat equations ��^k + ��^k = ��^k. Based on equations derived in this paper, we may wonder if some of these elementary results could have been known to Fermat himself. That is, could Fermat’s proof that the area of a Pythagorean triangle is not a square have helped him to envision what we have come to know as Fermat equations and Fermat’s Last Theorem?