A Tasmanian court has approved the extradition of an 81 year-old man to face a murder charge over the disappearance of Perth woman Cariad Anderson Slater nearly 20 years ago.

It will be alleged Ronald Leslie Pennington of Hobart murdered the woman in July 1992.

She was last seen getting out of a taxi in front of the duplex in the Perth suburb of Woodlands where Mr Pennington lived at the time.

It is understood bones discovered buried at the rear of the duplex last week were those of Mrs Anderson Slater.

Mr Pennington today appeared in the Magistrates Court in Hobart where an order to extradite him to WA was granted.

He has been living in Tasmania for 12 years.

Mr Pennington is due to appear in court in Perth this Saturday morning.

Police have also revealed they will review the findings of a case in which a man died at the same house in Woodlands a few months before Mrs Anderson-Slater disappeared.

That man fell through a plate glass window and, at the time, the death was deemed accidental.