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The perimeter of a rectangle is not enough to determine its shape.

Let B < 5.5 be the breadth of the rectangle and let L = (11 - B) be its length. Then perimeter = 2*(L + B) = 2*(11 - B + B) = 2*11 = 22.

The choice of B was arbitrarily any number between 0 and 5.5. Therefore there are infinitely many shapes that will meet the requirements.

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Q: What is the perimeter of a rectangle when the area is 22?
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