Ive posted this on another thread before but this is mine. Cut sheets and hung them from one edge. Works awesome. Downside is it takes quite a bit of carpet to make.
Yes, I made one out of carpet I ripped out of my house. They get heavy, so you want to consider it in a permanent location, or on wheels to move. I think they would last a long time. That being said, IMO, the glue/resin is very abrasive, and I quit using it for this reason. The price of a few carbon arrows will buy a nice, much lighter, portable target.
They use carpet targets at our local range, arrows are sometimes difficult to remove and they leave a little glue but overall they work great. The ones at our range are stacked vertically and compressed
They work well and can be customized per your weight and dimension requirements. As mentioned above they do get heavy so wheels or permanent location is ideal. They also require a bit of time and a handful of materials to build one correctly (2x4, plywood, threaded rod, nuts, and lots of carpet).
My archery club would make all there range targets this way. Your best bet is to find a couple local carpet stores and ask them if you can go dumpster diving. Most carpet installers rip out all old carpets and throw it in there dumpsters in the back. Go diving for a couple weeks, cut carpet to size, run to home depot and call it a day. The good about using threaded rod is when spots loosen up you can just tighten the rod down.