There are infinitely many such rectangles.
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If the 'ratio' (length/width) of one rectangle is the same number as (length/width) of the other one, then the two rectangles are similar.
Perimeter = 2 x (width + length)⇒ 12 = 2 x (width + length)⇒ width + length = 6⇒ the rectangles could be:1 by 52 by 43 by 3[A square is a rectangle with equal sides.]
The factor pairs are the length and width of the rectangles.
The answer is 576cm.
The following rectangles have a length and width that make an area of 36: 1 x 36; 2 x 18; 3 x 12; 4 x 9; 6 x 6