Spanish word medida comes from Proto-Indo-European *moh₁-, and later Latin *metio ((Vulgar Latin) I measure.)
*moh₁- (Proto-Indo-European)
metior (Latin)
I distribute or mete out. I measure or estimate. I traverse.
*metio (Latin)
(Vulgar Latin) I measure.
medir (Spanish)
To measure.
medida (Spanish)
Action, step, sanction. Measurement; measure. Moderation.