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

Question 1113782: the length of each side of a square is extended by 3 inches. The area of the resulting square is 121inches squared. find the length of the original side

Found 3 solutions by stanbon, amalm06, ikleyn:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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 the original side.
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original side:: x
original area:: x^2
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new side:: x+3
new area:: (x+3)^2
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Equation:
(x+3)^2 = 121
x+3 = 11
x = 8 inches
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Cheers,
Stan H.
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Answer by amalm06(224)   (Show Source): You can put this solution on YOUR website!
Given:

Express as quadratic:

Factor:

Reject negative solution: (Answer)
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

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

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