Old English tæppe “narrow strip of cloth used for tying, measuring, etc.,” a word of uncertain origin; perhaps [Klein] a back-formation from Latin tapete “cloth, carpet.” Middle English Compendium compares Old Frisian tapia, Middle Low German tapen “to pull, pluck, tear,” and points to tabbe “strap or string” (mid-15c.), Norwegian dialectal tave “piece of cloth, rag.”
https://www.etymonline.com/word/tape
yay etymology