The Saw Palmetto or Serenoa repens is without a doubt one of the most underutilized of landscape palms. Many homeowners select statuesque palms such as washingtonia palms, Sylvester palms, mule palms and the not so recommended queen palm. Tall palm species such as these can certainly make a statement in the landscape. However, consider adding another layer of palm diversity. The saw palmetto can grow to an average height of about five to six feet. They can grow to ten feet, but it would take a very long time for that to happen.