Find the length that must be turned up to produce a gutter with a maximum cross sectional area.
A thin rectangular sheet of metal is 6 inches wide.
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A thin rectangular sheet of metal is 6 inches wide and 10 inches long.
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The sheet of metal is to be rolled into to form a cylinder so that one dimension becomes the circumference of the cylinder and the other dimension becomes the height.
Wide is to be made into a gutter by turning up sides of equal length perpendicular to the sheet.
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The sheet features a union jack style perforated design.
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