Our "muni" pool (that's what we called it) was rectangular about 2:1 ratio, with one entire long side being a sloped suface from zero to whatever the max depth (outside of the diving area) was. IIRC (it's only be 45 years or so) it was that same depth everywhere else outside the sloped and diving areas. It had a separate "kiddie" pool that an adult or older kid couldn't even float in. It also had 3 diving boards, two low and one high (10 feet I think). It was pretty deep down there, 12 feet maybe, maybe 14.
The newer pools, save one, were "L" shaped, with the deep end in the short arm of the "L", and no high board. That "one" was a simple rectangle, with 3 boards in the same configuration, but no "gradual entry. The older one pre-dated WW-II, but I don't know how much, it's a parking lot now, althought the "bath house" is still there. The second one was built in the mid 1950s and the "L"s staring in the late 50s or early 60s. Last I checked, (in march) the nearest "L" to my folks house (about 5 blocks) was still there. I'll never forget the summer before high school when Bonnie I. lost the top to her two piece suit in the deep end. :)