Origin of the Word “Broad”
“Broad”, as referring to a woman rather than something with great breadth, has slightly less certain origins. It first popped up being used this way in the very early 20th century. Theories as to its origin include simply referencing a woman’s broad hips, or perhaps from the American English “abroadwife”, which was a term for a slave woman, or just a woman who was separated from her husband.
Another popular theory is that it came from a slang term for a ticket, such as a train ticket, a meal ticket, a sporting event admission ticket, etc. This slang term became common around 1912 and by 1914 “broad” was being used, among other things, to refer to a prostitute, thus a pimp’s “meal ticket”. “Broad” possibly came to mean “ticket”, from the 18th century practice of sometimes calling playing cards “broads”. This derives from the fact that in the early 20th century, many types of tickets often resembled playing cards. This theory is attested in the 1914 work
A Vocabulary of Criminal Slang, by Jackson and Hellyer where they define Broad as:
Noun, Current amongst genteel grafters chiefly. A female confederate; a female companion, a woman of loose morals. Broad is derived from the far-fetched metaphor of ‘meal ticket,’ signifying a female provider for a pimp, from the fanciful correspondence of a meal ticket to a railroad or other ticket.
Whatever the case, when “broad” first showed up as referring to a woman, it generally was used to signify a prostitute or immoral women. This gradually changed somewhat in the century since with “broad” slowly coming to be less used as a derogatory term and more used just to be synonymous with “woman”. One of the earliest instances of this was in the 1932 “Guys and Dolls”, where one characters refers to another as a broad without any negative connotation.
http://www.todayifoundout.com/index.php/2012/08/why-are-women-called-sluts-dames-and-broads/