Sage Valmiki did not say Rama ruled the kingdom for 11,000 years, he said that Rama performed upa:sana on the ra:jya, the kingdom. dasavarsha sahasra:ni dasa varsha satha:nicha ra:mo: ra:jyam upa:sithva: Upa:sana is the continuous stream of thoughts leading to actions driven out of love for someone with the sole objective
Source: JIVA Shamshabad News