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Assuming that the author of the question means "how long is the fold in a rectangular 6X8 piece of paper folded so that two opposite corners meet", the answer is as follows:

Folding a piece of paper is like reflecting one side of the fold through the fold. Setting a coordinate system with the origin on the bottom left corner of the paper (and assuming we are folding the top right corner to meet bottom left corner) the line joining the two corners has a slope of 8/6. The fold must be perpendicular to this (it is a reflection!) so it has slope -6/8 and traverses a horizontal distance of 6. Therefore the fold is a line segment of x displacement 6 and y displacement -36/8 = -9/2.

Using pythagoras, the length of this line segment is sqrt(64 + (81/4)) = sqrt(337)/2 = 9.18 (note that we were not given units, so our answer is unitless as well)...

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