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A piece of wire of length l metres is cut into two pieces of length x metr...

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A piece of wire of length ll metres is cut into two pieces of length xx metres and (l-x)(l-x) metres. The former is bent into the shape of a square and the latter is bent into the shape of a rectangle of which the length is twice the width. Find the value of xx in terms of ll for which the sum of the areas of the two figures is a minimum or a maximum.

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