SOLUTION: A square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is 32 square​ feet, find the lengths of the sides o

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Question 1111914: A square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is
32 square​ feet, find the lengths of the sides of the poster and the sign.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Area of square poster, %28x-2%29%5E2

Area of square sign, x%5E2

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the difference between their areas is
32 square​ feet
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x%5E2-%28x-2%29%5E2=32
Simplify and solve...
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7 by 7, and 9 by 9