# SOLUTION: If the sides of a square are decreased by 2cm, the area is decreased by 36 cm squared. What were the dimensions of the original square?

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 Click here to see ALL problems on Geometry Word Problems Question 114394: If the sides of a square are decreased by 2cm, the area is decreased by 36 cm squared. What were the dimensions of the original square?Answer by solver91311(16897)   (Show Source): You can put this solution on YOUR website!Start with defining a variable to represent the length of a side of the original square, let's call it x. So the area of the original square would be . The new square is 2 cm shorter on each side, so one of the sides must measure , and the area of the new square must be . But we know that . Substituting: . Now, expand the binomial, collect terms, and put the equation in standard form. So the original square was 10 cm on a side. Let's check the answer. Original area New area , Check.