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55 meters. This makes the length parallel to river 110 meters, total area = 55 x 110 =6050 sq meters. I did this using differential calculus. If you don't know this, you can try other combinations. Put short side equal to 50 or 60 meters and work out area, it will be less!

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Q: A farmer wants to build a rectangular garden with river as one side if he has 220m of fencing materials What is the length of side of the fence perpendicular to the river to enclose the biggest area?
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