The fourth book published by Red Arrow Books is Death in the Library by Philip Ketchum, first published New York: Thomas Y. Crowell, 1937.
Death in the Library is 240 pages long and is 111 mm (4 3/8") wide by 179 mm (7 1/16") tall, the same size as the early Penguins. The page collation is:
[1] half-title, [2] about Red Arrow Books, [3] title page, [4] copyright page, [5] disclaimer, [6] blank, 7-239 Death in the Library, [240] blank.
The copyright date is 1937.
There are four variant covers: two text with different colours on the spine and back cover, an illustrated one and a "Book Club" edition. The text is below.
The 13th book published by Bantam Publications is Children's Favorite Stories edited by Ellen Lewis, a pseudonym for Eleanor Packer. This is a paperback original.
In common with all but one of LA Bantam's books Children's Favorite Stories is 100 pages long and is 110 mm (4 5/16") wide by 152 mm (6") tall. Cover and pages are made from high acid pulp paper. The page collation is:
[1] title page, [2] copyright page, 3-100 Children's Favorite Stories.
The copyright date is 1940.
The one cover I'm aware of is strong yellowish green/light yellowish green.