34cm
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Length + Width = 9, becomes 36, eg 8 + 1 becomes 32 + 4 or 5 + 4 becomes 20 + 16 New perimeter is 2 x 36 = 72 cm
Depends on the shape. A square's perimeter would be 4 root 9 ie 12 cm, but you could have a 9 x 1 rectangle which would have a perimeter of 20 cm etc etc
3 x 9
There are infinitely many possible rectangles. Suppose A >= 2.25 cm is the length of the rectangle. and B = 4.5 - A cm is the width. Then perimeter = 2*(A + B) = 2*(A + 4.5 - A) = 2*4.5 = 9 cm Also, it is easy to show that A >=B so that A and B cannot swap places. For each of the infinitely many values of A, you have a rectangle with perimeter 9 cm.
That will depend on its dimensions of which none have been given but if they are 2 by 9 then its perimeter is 22 cm or if they are 3 by 6 then its perimeter is 18 cm