How long can the sides of a rectangle be if its area is 12 cm2?

Let the sides of the rectangle be a cm and b cm, respectively.Then its area is equal to

S = a * b = 12 cm ^ 2,

whence the aspect ratio of the rectangle

b = 12 / a.

If we consider only integer length values, then the possible options are:

a = 1 cm, b = 12 cm;

a = 2 cm, b = 6 cm;

a = 3 cm, b = 4 cm;

a = 4 cm, b = 3 cm;

a = 6 cm, b = 2 cm;

a = 12 cm, b = 1 cm.

Thus, 3 unique integer solutions to this problem are possible: 1 cm and 12 cm; 2 cm and 6 cm; 3 cm and 4 cm.