What is the ratio of the width to length of a folded sheet of paper if the rectangle formed when the sheet is folded in half (as shown below) is similar to the original rectangular sheet? Express your answer as a common fraction in simplest radical form. (Assume the width of the original sheet of paper becomes the length of the folded sheet.)
Let W be the original width and L be the original length
After folding we have the new width = (1/2)L and the new length = W
So
L /W = W / (1/2)L cross-multiply
(1/2)L^2 = W^2 take the square root of both sides
sqrt(1/2)L = W
sqrt(2)/2 = W / L
I don't see any diagram, Mellie.....so I'm just guessing at the answer, here.....!!!!!