MGB floors

[MLishego@aol.com]

Hello to all,
I noticed that the driver's side floor of my '74 B gets awful hot after
idling for a few minutes.  There's no carpet in her yet, and the heat is
sufficient enough to melt my shoes!  Would it be advisiable to fit a plywood
floor over the original steel?  Of course, I would just fit the wood over the
steel, not instead of it.  I guessed that I would have some more insulation
from heat and road noise.  Any MGA, T-series owners have any advice on this
subject?
~Mike