I am working with RHEL6 inside VMware Workstation. I have already looked here and here, but am still running into a very annoying wall.
I want to have the network adapter on my VM get a DHCP address from my router on my home network (ie, using Bridged networking). The router is set to hand out plenty of addresses:

and has only issued 5 so far:

However, I am still seeing the following when I boot into the VM:

My /etc/sysconfig/network-scripts/ifcfg-eth0 file:

What am I missing? It can't be this hard to get a VM to work. Setting the network adapter to NAT instead of Bridged works fine.
VMware's network settings:

