Segment AB is divided by point C into segments AC and CB. The length of the segment AC is 4 cm

Segment AB is divided by point C into segments AC and CB. The length of the segment AC is 4 cm, and the length of the segment CB is n times longer. Find the length of the line segment AB if n = 5.

Let’s solve this task in steps and explain each of them in detail.

1) 4 * n = 4n centimeters – the length of the BC segment, since it is n times greater than the length of the AC segment, and the AC segment length is 4 centimeters;

2) 4 + 4n centimeters – the length of the AB segment, since this segment consists of an AC segment equal to 4 centimeters and a BC segment equal to 4 * n;

3) if n = 5, then 4 + 4 * 5 = 4 + 20 = 24 centimeters – the length of the segment AB.

Answer: 24 centimeters.