Let's pretend this is your binding parallelogram:
This is just a strip I had lying around, and we will use it for demonstration purposes. See how the sides are cut on the bias? Now turn your parallelogram like this, so that your bias edge is on the vertical lines of your cutting mat like this: Then fold your binding parallelogram like this:
And then cut your strips on the vertical lines of your cutting mat. That's it. I know the folding seems unnecessary, but that is because this strip used for demonstration is a lot smaller than your binding parallelogram if you are making a lot of bindng. Your binding parallelogram will be big, and folding it will allow you to cut your strips easily using your acrylic ruler, which is probably no more than 24 inches long.
I hope this helps - please email me or leave a comment if you have any other questions. Thanks so much for the feedback, Laurie!