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The area of a rectangle does not provide enough information.
Let L be any number greater than sqrt(60) = approx 7.75 and let B = 60/L.
Then a rectangle with length L units and Breadth B units will have an area of L*B = L*(60/L) = 60 square units. Since L can be any number greater than 7.75, there are infiitely many choices for L and so infinitely many possible rectangles.
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