I'll bet if you want to get super fancy, a local upholstery shop could fix the length.
1) Hem removal tool to cut thread on the edge binding.
2) Shorten the carpet as needed
3) Rebind the edge the recycled binding - with appropriate thread to match the original thread.
4) Save the "extra" binding that would be left over to sell in 914World classifieds 50 years from now when someone needs to fix a small cut.