# The length of the segment AB is 40 cm. The points CD divide the segment AB into segments AC, CD, DB

The length of the segment AB is 40 cm. The points CD divide the segment AB into segments AC, CD, DB. The length of the CD segment is 4 cm longer than the length of the AC segment. The length of the CD segment is 2 times less than the DB segment. It is necessary to find the length of the segment AC

Let’s denote the segment CD for x cm, then the 2 times larger segment DB will be 2x cm, and the segment AC, which is 4 cm shorter than the CD part, will be expressed as (x-4) cm.

If it is known that points C and D belong to the segment AB and divide it into smaller parts, and the entire segment AB is 40 cm, we will compose the equation:

x + 2x + (x – 4) = 40,

4x – 4 = 40

4x = 40 + 4

4x = 44

x = 11.

Those. the CD segment is 11 cm.

A segment of the AC equal to (x-4) cm will be:

11 – 4 = 7 cm.

Answer: the AC segment has a length of 7 cm.

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