Can't connect to internet using Broadcom cable

My daughter is having problems connecting to the internet using eithernet.  She connects ok using wireless, but unfortunately her dorm is not wireless capable.  I was told by our internet provider her eithernet slot, probably failed, and it couldn't be replaced because is was integrated into the motherboard.  Warrantee is off.  His suggestion was to buy a network card and hook internet that way when she needed to use ethernet. 

 

Ok I'm a real novice here so, please forgive my lack of knowlege with this--we bought a network card for the pc slot, the one they recommended at the store--unforunately it doesn't fit/connect into her pc card slot--do they make different sizes on the pins configuration?  I think this is a 10/100 if that sound right.

 

We did talk briefly to a technician about it at Dell--she had us check the config (I think) and it looked as if it was recognizing the broadcom, but still says cable unhooked with tried to attach and install eithernet. 

 

If anyone has any help or what our next step should be, we would surely appreciate it!!

 

Thanks

 

Dell Inspiron E1505 Intel Core Duo Processor

T2050DW1390, BROADCOM CORPORATION 

I'm not sure what this is, but when I looked for broad com this is what I got.

Cable not connected is the error message, no yellow or red splats when checked the devices list that technician walked us to.