Area = length * width ( X for both length and width )
X(X - 4) = 96
X^2 - 4X = 96
X^2 - 4X - 96 = 0
(X + 8)(X - 12)
From this (discarding negative factor ) we see that...,
X = 12 feet
X - 4 = 8 feet
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Perimeter = 2L + 2W
So, the perimeter is easy for you to find!