SOLUTION: a square has been divided ino four triangles by its diagnols.if the perimeter of each triangle is 1,what is the perimeter of the square?

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Question 852725: a square has been divided ino four triangles by its diagnols.if the perimeter of each triangle is 1,what is the perimeter of the square?
Answer by KMST(5347) About Me  (Show Source):
You can put this solution on YOUR website!
If x= side of the square
x%2Asqrt%282%29= diagonal of the square, and
x%2Bx%2Asqrt%282%29=%281%2Bsqrt%282%29%29%2Ax=1= perimeter of triangle.
So x=1%2F%281%2Bsqrt%282%29%29=%281-sqrt%282%29%29%2F%281-2%29=sqrt%282%29-1 , and
highlight%284%28sqrt%282%29-1%29=4sqrt%282%29-4%29= perimeter of square.