I've had issues installing Tk on Strawberry too, but always get it to work. Currently Windows 7 x64 w/ Strawberry 5.18 64-bit:

VinsWorldcom@C:\Users\VinsWorldcom> ver

Microsoft Windows [Version 6.1.7601]

VinsWorldcom@C:\Users\VinsWorldcom> perl -v

This is perl 5, version 18, subversion 1 (v5.18.1) built for MSWin32-x
+64-multi-thread
[...]

VinsWorldcom@C:\Users\VinsWorldcom> perl -MTk -e "print $Tk::VERSION"
804.031
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IIRC, it was a 64-bit thing. Anyway, here's the fix I use:

Go to the downloaded working CPAN directory of Tk

  cd pTk\mTk\xlib\X11
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Edit the file 'X.h'.

Starting at line 43:

43: #ifdef _DWIN64
44: typedef __int64 XID;
45: #else
46: typedef unsigned long XID;
47: #endif
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Change to:

43: #ifdef _DWIN64
44: #include <inttypes.h>
45: typedef __int64 XID;
46: #else
47: typedef unsigned long XID;
48: #endif
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Go back to root of the build directory and:

  dmake
  dmake test
  dmake install
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PS E:\Tk-804.033.tar\Tk-804.033\Tk-804.033> dmake
cd pTk && dmake DEFINE=""
dmake.exe:  Warning: -- Target [pTk\libpTk.a] was made but the time st
+amp has not been updated.
dlltool --def Tk.def --output-exp dll.exp
g++ -o blib\arch\auto\Tk\Tk.xs.dll -Wl,--base-file -Wl,dll.base -mdll 
+-s -L"E:\perl\lib\CORE" -L"E:\c\lib" Tk.o
chnGlue.o       encGlue.o       evtGlue.o       objGlue.o       tixGlu
+e.o       tkGlue.o        tkGlue_f.o      tkWin32D
ll.o    pTk\tkres.o  pTk/libpTk.a "E:\perl\lib\CORE\libperl520.a" -lmo
+ldname -lkernel32 -luser32 -lgdi32 -lwinspool -lco
mdlg32 -ladvapi32 -lshell32 -lole32 -loleaut32 -lnetapi32 -luuid -lws2
+_32 -lmpr -lwinmm -lversion -lodbc32 -lodbccp32 -l
comctl32 dll.exp
pTk/libpTk.a(tkWinX.o):tkWinX.c:(.text+0xc78): undefined reference to 
+`ImmGetContext'
pTk/libpTk.a(tkWinX.o):tkWinX.c:(.text+0xc9d): undefined reference to 
+`ImmSetCompositionWindow'
pTk/libpTk.a(tkWinX.o):tkWinX.c:(.text+0xca8): undefined reference to 
+`ImmReleaseContext'
pTk/libpTk.a(tkWinX.o):tkWinX.c:(.text+0x1744): undefined reference to
+ `ImmGetContext'
pTk/libpTk.a(tkWinX.o):tkWinX.c:(.text+0x176e): undefined reference to
+ `ImmGetCompositionStringA'
pTk/libpTk.a(tkWinX.o):tkWinX.c:(.text+0x17bb): undefined reference to
+ `ImmGetCompositionStringW'
pTk/libpTk.a(tkWinX.o):tkWinX.c:(.text+0x18d1): undefined reference to
+ `ImmReleaseContext'
pTk/libpTk.a(tkWinX.o):tkWinX.c:(.text+0x18e1): undefined reference to
+ `ImmGetCompositionStringW'
pTk/libpTk.a(tkWinX.o):tkWinX.c:(.text+0x18f1): undefined reference to
+ `ImmGetCompositionStringA'
E:/c/bin/../lib/gcc/x86_64-w64-mingw32/4.8.3/../../../../x86_64-w64-mi
+ngw32/bin/ld.exe: pTk/libpTk.a(tkWinX.o): bad relo
c address 0x28 in section `.data'
E:/c/bin/../lib/gcc/x86_64-w64-mingw32/4.8.3/../../../../x86_64-w64-mi
+ngw32/bin/ld.exe: final link failed: Invalid opera
tion
collect2.exe: error: ld returned 1 exit status
dmake.exe:  Error code 129, while making 'blib\arch\auto\Tk\Tk.xs.dll'
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undefined reference to `Imm ...

You need to link to libimm32.a (which should ship with strawberry).
I don't know why this is isn't happening automatically for you. (It happened automatically for me.)

UPDATE: I think I identified the wrong Makefile in what follows. It's the top level Makefile (not the the pTk/Makefile) that's failing to provide the libimm32.a link.

If you go into your Tk build directory, and open up the pTk/Makefile, you should find EXTRALIBS and LDLOADLIBS entries about a third of the way down - and those entries should specify the full path to (among other libs) libimm32.a.
If that lib is missing, just insert it at the beginning.
For example, my EXTRALIBS and LDLOADLIBS begin with:
"C:\_64\strawberry5.20.0\c\x86_64-w64-mingw32\lib\libimm32.a"

If you fix those entries, you should then be able to 'cd' into the 'Tk' build directory and run 'dmake test' followed by 'dmake install' ... and that will hopefully work.

However, the fact that this didn't all happen correctly in the first place might indicate that there's something more serious. See how it goes.

Cheers,
Rob

That worked! Thanks Rob. I appreciate your help.