Question 1058112
a farmer is fencing a rectangular area for cattle and use the straight portion of a river as one side of the rectangle, note that there is no fence along the river. if the farmer has 2500 feet of fence find the dimensions for the rectangular area that gives the maximum area for the cattle 
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Sketch a rectangle with the river as the back side
width + 2(height) = 2500
Area = width*height
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A = (2500-2h)h
A = 2500h - 2h^2
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Max Area occurs when h = -b/(2a) = -2500/(-4) = 625 ft.
Solve for "width"
width = 2500 - 2(625) = 1250 ft.
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Cheers,
Stan H.
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