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No, not if your floor is flat. Regular pentagons do not tile the plane. You will always end up with empty space. You would need to use some other shapes too (or irregular pentagons) http://www2.spsu.edu/math/tile/defs/pentagon.htm
The answer will depend on the units used in specifying "12 square" tile.
Yep. ^.^
it can in accompaniment with squares.
Dodeca-, meaning 2+10, is used in describing any 12-sided figure thus dodecagon