The word unfeasibility is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 24
Highest Scoring Words With Friends™ Play In The Letters unfeasibility
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Seven Letter Word Alert: (70 words)
ability, abluent, ablutes, albites, alibies, astilbe, aunties, baneful, beastly, beatify, belfast, bluefin, butanes, butynes, bylines, elastin, eluants, entails, faintly, falsity, fanbelt, faunist, fibulae, filiate, finales, finials, fistula, fistule, flaunts, fluents, flybane, fusible, fustian, futiley, ileitis, inflate, initial, instyle, inulase, lesbian, libates, lunates, luniest, nailset, nastily, nebulas, niftily, saintly, salient, sinuate, sulfate, sulfite, sunbelt, tailfin, tenably, tinfuls, tunable, tunably, unbaits, unbales, unbelts, unblest, unfitly, unifies, unities, unleafy, unsilty, useably, utensil, utilise