ok so find the legnth of one side if we drwa the diagonal, we cut the squre into 2 right triangles with legs equal measure
pythagorean theorem for a right triangle with legs legnth a and b, and hypotnuse legnth c a^2+b^2=c^2 since square, a=b a^2+a^2=c^2 2a^2=c^2 diagonal=hypotnuse=32 2a^2=32^2 2a^2=1024 divide both sides by 2 a^2=512 sqrt both sides a=16√2
the perimiter is 4 times one side side=a=16√2 4 times 16√2=64√2
