using only whole numbers there are six answers:
1x72
2x36
3x24
4x18
6x12
8x9
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area = 144 square units perimeter = 48 units
A centimetre is a unit of length. A square centimetre is a unit of area. The two units are therefore incompatible.
Then its area will only be a quater of once it was.
cm stands for centimeters. square centimeters means that you have two measurements of cenitmeters... usually in a geometric shape. When you need to find the area (the area is the space inside the object) your units are square centimeters since you have to multiply centimeters by centimeters.
That refers to units of area, such as square meters, square centimeters, etc.