VINTAGE Humane Society/Pet Store Signs. These two signs are very old, judging from the lettering, I guess 1920s to 1930s 
I am also guessing they were from an old pet store or humane society/SPCA 
They are very heavy pressed material, possibly masonite, fiberboard or cardboard (tight waffle design on back) 
Measures 18"x24" and both have mounting holes 
As you might expect for the age, they both show a lot of wear