SOLUTION: if the length of a golden rectangle is 10 meters then what is the width? here is the formula for the original rectangle l/w=w/l-w

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Question 271965: if the length of a golden rectangle is 10 meters then what is the width? here is the formula for the original rectangle l/w=w/l-w
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if the length of a golden rectangle is 10 meters then what is the width? here is the formula for the original rectangle l/w=w/l-w
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10/w = w/(1-w)
Cross-multiply:
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w^2 = 10 - 10w
w^2 + 10w -10 = 0
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Quadratic Formula:
w = [-10 +- sqrt(100 - 4*1*-10)]/2
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w = [-10 +- sqrt(140)]/2
w = [-10 +- 11.83]/2
Positive solution:
w = [-10+11.83]/2
w = [1.83]/2
w = 0.965
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Cheers,
Stan H.