The area of a rectangle is 24 cm2. The lengths of its sides are integer numbers.

The area of a rectangle is 24 cm2. The lengths of its sides are integer numbers. According to the condition of the problem, how many different rectangles can be built?

The formula for finding the area of a rectangle is as follows:

S = 2 * (a + b)

We substitute the value given in the condition into the formula:

2 * (a + b) = 24

Divide both sides of the equation by two:

a + b = 12

Using the selection method, we find all possible values of the lengths of the sides of the rectangle, given that they are expressed in integers:

(a = 1, b = 11); (a = 2, b = 10); (a = 3, b = 9); (a = 4, b = 8); (a = 5, b = 7)

Therefore, we can build 5 different rectangles.

Answer: 5