The perimeter of the rectangle is 50 cm² and its area is 156 cm². Find the lengths of the sides of the rectangle.

First, find the sum of the two sides by dividing the perimeter in half. Thus, we get:

50: 2 = 25 (cm).

We also know what the area of the rectangle is.

Therefore, its length and width should be equal to such values, the sum of which is 25, and when multiplying, the result should be 156. These values are the numbers 12 and 13, that is, the length of the rectangle is 13 cm, and its width is 12 cm:

P = 2 (12 + 13) = 50.

S = 12 * 13 = 156.

Answer: 13 cm and 12 cm.