Putting greens are far from being square or rectangle. In fact, you will probably never see sharp edges on the exterior design of a putting green. Just like landscape turf, putting green materials come on rolls of 12 ft and 15 ft widths. Depending on radius and curves, putting greens can have an extensive amount of waste. I recommend having a drawing prior to installing and then marking the entire putting on the surface including the fringe.
When the putting fringe is marked out, take string line and layout where the pre-cut sections will be laid to cover these areas. Immediately you will witness the waste. In order to wrap the fringe material around the entire putting green, you will witness that you will need to purchase large enough sections so that you can minimize seams.