The word geostrategy 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: 17
Highest Scoring Words With Friends™ Plays In The Letters geostrategy
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Seven Letter Word Alert: (23 words)
garotte, gearset, geostat, geotags, gestate, goatees, grayest, greyest, gyrates, restage, restate, retaste, retoast, roseate, rosette, rotates, seagoer, stagger, storage, taggees, taggers, targets, toaster