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

Algebra ->  Rectangles -> 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       Log On


   

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) About Me  (Show Source):
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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) About Me  (Show Source):
You can put this solution on YOUR website!
Given: %28s%2B3%29%5E2=121

Express as quadratic: s%5E2%2B6s-121=0

Factor: %28s-8%29%28s%2B14%29=0

Reject negative solution: s=+8++in (Answer)

Answer by ikleyn(52781) 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.