SOLUTION: Two opposite sides of a square are shortened by 2 units. The area of the rectangle obtained is 35 square units. What was the length of one side of the original square?

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Question 959921: Two opposite sides of a square are shortened by 2 units. The area of the rectangle obtained is 35 square units. What was the length of one side of the original square?
Found 2 solutions by macston, Alan3354:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
s=side of original square; A=area of rectangle
A=(s)(s-2)
35units%5E2=s%5E2-2s
0=s%5E2-2s-35
0=%28s-7%29%28s%2B5%29
s-7=0 or s%2B5=0
s=7 or s=-5 ANSWER: The sides of the original square were 7 units.

Answer by Alan3354(69443) About Me  (Show Source):