Question 1120603
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(I)  If "a" is the side of the square, then, according to Pythagoras,


        {{{a^2 + a^2}}} = {{{42.5^2}}},

        {{{2a^2}}} = {{{42.5^2}}}

        {{{a^2}}} = {{{42.5^2/2}}} = 903.125  =====>  a = {{{sqrt(903.125)}}} = 30.05 cm.

        Then the perimeter of the square is  4a = 4*30.05 cm = 120.2 cm.


(II)  The area of the square is  {{{a^2}}} = {{{30.05^2}}} = 903.0025 square centimeters.
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The solution by the other tutor is absolutely incorrect, and deserves the lowest point.