Reducible Veronese surfaces

We describe all degree n+3 non degenerate surfaces in P^(n+4), n≥1, connected in codimension 1, which may be isomorphically projected into P^4. There are three of them. One is a suitable union of n+3 planes (for all n≥1); it was discovered by Floystad. The otheer two are unions of a smooth quadric and two planes (only for n=1).