SOLUTION: The length of each side of a square is extended by 3 inches. The area of the resulting square is 121 inches squared. find the length of a side of the original square

Algebra ->  Surface-area -> SOLUTION: The length of each side of a square is extended by 3 inches. The area of the resulting square is 121 inches squared. find the length of a side of the original square       Log On


   

Question 1113767: The length of each side of a square is extended by 3 inches. The area of the resulting square is 121 inches squared. find the length of a side of the original square
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, original side

%28x%2B3%29%5E2%2Bx%5E2=121
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x%5E2%2B6x%2B9%2Bx%5E2-121=0
2x%5E2%2B6x%2B9-121
2x%5E2%2B6x-112=0
x%5E2%2B3x-56=0, use quadratic formula solution if this is not factorable.
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Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
The extended square side length is  sqrt%28121%29 = 11 inches.


Hence, the original square side length is 11-3 = 8 inches.

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Be aware:   the equation/equations of  @josgarithmetic and his approach are   W R O N G.