The 36 cm segment was divided into two parts so that one part was twice the size of the other. What is the length of each piece.

Let’s solve this problem using the equation.
Let the length of one part of the segment be x centimeters, then the length of the second part of the segment is 2 * x centimeters. We know that the length of the entire segment is 36 centimeters. Let’s make the equation:
x + 2 * x = 36;
x * (1 + 2) = 36;
x * 3 = 36 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 36: 3;
x = 13 centimeters – the length of the first part of the segment;
2 * 13 = 26 centimeters – the length of the second part of the segment.
Answer: 13 centimeters; 26 centimeters.