Reps are paid $165,200 per year currently. The DC area is one of the most expensive housing markets in the US. Also, a rep would be required to maintain a household in his district as well, if he wants to be re-elected (not having a household in the district he represents would make him invalid to represent that district in future elections).
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I am pretty sure that he could afford to rent a home in DC. I bet he isn't actually sleeping in his office now. As for his district office, he only needs to have a small (as in rented apartment, possibly a mobile home) residence.
In the early 70's, I once taught in the MD suburbs of Washington, in Charles County. Houses in Waldorf were very expensive. I sublet half a duplex belonging to a squeaky-voiced real estate tycoon named William Zantzinger, who had killed a Black barmaid with a cane in a fit of drunken rage and been freed with minimal jail time. Bob Dylan actually wrote a song about it. When Zantzinger heard I was subletting his dingy duplex, he cancelled the lease of the woman he had originally rented it to, named Nancy Shimansky, who was a single parent who had moved in with her mother, and told me the rent was now three times what I had been paying.
Hell, I was a schoolteacher at the HS in Waldorf. I couldn't his rent, so I moved 35 miles down the road into the top half of a farmhouse on a tobacco farm owned by Pauline Bolin, for $150 a month including utilities. She gave us all the kale we could eat. Actually MORE kale than anyone could eat. It seems that they grew kale to revitalize the soil before replanting the field in tobacco. This representive could cut his expenses a lot by learning to eat more kale.
One piece of bacon and a little balsamic vinegar helps a lot towards making kale edible. Not delicious, but edible.
I am not going to feel sorry for some guyy who can't make it on $165,000 per year.
All I can offer this whining sod is a line from the Mary Tyler Moore Show "You can make it if you try!"