SOLUTION: If the side of a square are lengthened by 8 cm, the area becomes 289 cm^2. Find the length of a side of the original square.

Question 249038: If the side of a square are lengthened by 8 cm, the area becomes 289 cm^2. Find the length of a side of the original square.
Answer by actuary(112) (Show Source): You can put this solution on YOUR website!
Let x = length of the original square
So (x+8)^2=289
Take the square root of each side of the equation.
So x+8 = 17 and -17
Solve each linear equation
x+8=17, so x=9
and x+8=-17, so x = -25.
Since I believe that the question is dealing with a real, physical square, the second answer (x=-25) is dropped and the answer is x=9 cm.
Good luck with your math studies.

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