WOLFRAM|DEMONSTRATIONS PROJECT

The Greatest Fenced Area along a Barn

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x (meters)=
x = 15
y = 170
y = 170
x = 15
bird's eye view
x = 15
y = 200 - 2 x = 170
area = 2550
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area (m
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A farmer has 200 meters of fence available and would like to fence off a rectangular area along his 200-meter-long barn. What dimensions would yield the maximum area and what is that maximum area?