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I have a 22cmx28cm piece of paper. I want to cut out the largest rectangle from it whose length to breadth ratio is

11:root(3)

How do I go about doing it? What will be the size of the sides and the angle with which it is inclined to the side of the paper?

At first I thought it would be parallel to the diagonal of the paper and have all corners touching the sides of the paper, but that's not the case right?

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