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Let the sides of the squares be x and x+2:

(x+2)(x+2)-x2 = 44 square feet

x2+4x+4-x2 = 44

4x+4 = 44

4x = 44-4

4x = 40

x = 10

Length of the smaller poster = 10 feet

Check: 122-102 = 44 square feet

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Q: What are the lengths of a square poster that has sides 2 feet less than the sides of a square sign if the difference between their areas is 44 square feet?
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