The sum of the lengths of the two segments is 145 mm which is equal to the length of the smaller segment

The sum of the lengths of the two segments is 145 mm which is equal to the length of the smaller segment if it is 25 mm shorter.

We write down the length of the smaller segment as x mm.

Since it is 25 millimeters shorter than the second segment, then its length will be: x + 25 mm.

The sum of the lengths of the two segments will be equal to:

x + x + 25 = 145.

2 * x = 145 – 25.

2 * x = 120.

x = 120/2 = 60 mm (the length of the smaller segment).

x + 25 = 60 + 25 = 85 mm (the length of the larger segment).

Checking the solution:

60 + 85 = 145 mm.

Answer: The length of the smaller section is 60 mm.