SOLUTION: please help me solve this {{{ A rectangular field has an area of 10 square meters. If its length is one meter less than 3 times its width, what are its dimensions? }}}

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Question 641486: please help me solve this
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangular field has an area of 10 square meters. If its length is one meter less than 3 times its width, what are its dimensions?
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Let the width be "x"
Length is "3x-1".
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Equation:
width*length = 10 meters
x(3x-1) = 10
3x^2 - 3x - 10 = 0
x = [3 +- sqrt(9-4*3*-10)]/6
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Positive solution:
x = [3 + sqrt(129)]/6
x = 2.39.. meters (width)
3x-1 = 6.18.. meters (length)
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Cheers,
Stan H.
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