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Similarly, any rectangle up to that with sides 0cm long, and a width of 9cm will have your 18cm perimeter.

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Actually there can be infinite number of rectangles. Lemme explain,

perimeter = 2(L +B) = 18

now, we can take any positive number, can be fraction also.

Otherwise, infinite number of rectangles are possible.

perimeter = 2(L +B) = 18

**⇒L +B = 9**now, we can take any positive number, can be fraction also.

**It should be noted that L or B cannot be Zero,**because if it is zero, then rectangle could not be formed.**If it is asked, the length and breadth can only be a natural number, then possible dimensions are (length,breadth) as (8,1), (7,2),(6,3),(5,4)****then only 4 rectangles are possible**Otherwise, infinite number of rectangles are possible.