SOLUTION: If the sides of a square are lengthened by 8cm, the area becomes 225cm^2. Find the length of a side of the original square. The length of a side of the original square is ____

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: If the sides of a square are lengthened by 8cm, the area becomes 225cm^2. Find the length of a side of the original square. The length of a side of the original square is ____      Log On

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Question 376274: If the sides of a square are lengthened by 8cm, the area becomes 225cm^2. Find the length of a side of the original square.
The length of a side of the original square is ________cm.

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
(x+8)^2=225
x^2+16x+64=225
x^2+16x+64-225=0
x^2+16x-161=0
(x-7)(x+23)=0
x-7=0
x=7 cm. ans.