My camera tends to wash out the colors; these are much more vibrant and gold-toned than the photo shows. They all had fringes on the ends, which I amputated, then cut the mats into strips of various sizes.
I should note at the outset that agave is not a friendly quilty fiber. It is stiff, glossy, prickly, ravelly and tough. Really good for placemats, shopping bags, possibly hats. If, as I have read on some accounts, the ancient Mayans really wove it into capes and kilts, I hope they wore something soft underneath because this stuff is not kind to the skin. Nor does it bend easily, so I at once abandoned any thought of traditional seams. It would be necessary to overlay two pieces, zigzag the upper cut edge, then turn it over and zigzag the underneath raw edge.
Years ago, someone (I think Connie Hudson, but I'm not sure) gave me a big roll of nonwoven interfacing. This stuff proved an excellent substrate for piecing the agave strips into useable squares.
I didn't have a real design in mind here. This project was fully led by the fabric, its virtues and limitations. So, no curves, no intricate piecing, no tiny details, no easing in fullness. On the plus side, no pleats where my piecing failed in precision!
I ended up with 16 crisp squares, every one different. Now to figure out an overall design.