Question 1161383
The area of this square is  128 square centimeters.


Drawing the figure, center to any corner is 8, and is hypotenuse of a 45-45-90 right triangle.  If v is one of the legs then {{{v^2+v^2=8^2}}}.

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{{{v=4sqrt(2)}}}


Each side or dimension for the square is {{{2v=8sqrt(2)}}}.


Area:
{{{(8sqrt(2))^2}}}
{{{64*2}}}
{{{highlight(128)}}} {{{square}}}{{{centimeters}}}