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Let 'l' & 'w' be the length & width of the rectangle respectively.
From the hypothesis,
l = 2w - 4
Perimeter = 100 feet
Perimeter of a rectangle = 2(l + b)
Plugging in 'l' in the above formula, we get
2(2w - 4 + w) = 100
On solving for 'w', we get
length of the rectangle(l) = 32 feet
Width of the rectangle(w) = 18 feet