SOLUTION: quadratic equation within word problem. A fenced in rectangular region with the dimensions 6 yards by 8 yards is suddenly expanded by the same distance in each dimension. The resu

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Question 941526: quadratic equation within word problem.
A fenced in rectangular region with the dimensions 6 yards by 8 yards is suddenly expanded by the same distance in each dimension. The resulting region is now 143 square yards in size. How much distance was added to each dimension?
_____yards

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A fenced in rectangular region with the dimensions 6 yards by 8 yards is suddenly expanded by the same distance in each dimension. The resulting region is now 143 square yards in size. How much distance was added to each dimension?
_____yards
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Equation:
(6+x)(8+x) = 143 sq yds
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x^2 + 14x + 48 = 143
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x^2 + 14x - 95 = 0
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Positive solution:
Ans: x = 5 yds (amt each dimension must be increased)
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Cheers,
Stan H.
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