The continuously built-up landscape with no reference to the political boundaries that limit the legal city of which it is the extension is called the:

Urbanized area

Explanation:

An urban area or urban agglomeration, is a human settlement with high

population density and infrastructure of

built environment. Urban areas are created through urbanization and are categorized by urban morphology as

cities , towns , conurbations or suburbs. In urbanism , the term contrasts to rural areas such as villages and hamlets and in urban sociology or urban anthropology it contrasts with natural environment .