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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.

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Q: Rectangular with a perimeter of 9 cm?
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