Question 631558
s = side of square

l = s + 5

w = s + 1

lxw = 96

(s + 5)(s + 1) = 96

s^2 + 6s + 5 = 96

s^2 + 6s - 91 = 0

(s + 13)(s - 7) = 0

s = -13, 7 

sides of a square cannot be negative, so 

s = 7