Question 730083
2L + 2W = P


2L + 2W = 64


L + W = 32 ... divide each term by 2


L = -W + 32


So if W >= 0 and W <= 32, and W is an integer, then you'll get whole number values for L. 


Ex: if W = 15, then


L = -W + 32


L = -15 + 32


W = 17


So one possible set of dimensions is 17 by 15