The ratio of the two parts is 2:3, which means that the total ratio is 2+3 = 5.
To find the length of the shorter part, we need to divide the total length of the rope by the total ratio and then multiply it by the ratio of the shorter part.
So, the length of the shorter part is (2/5) * 40 meters = 16 meters.
#### 16
The answer is: 16
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If a 40-meter rope was divided into two parts in a ratio of 2:3, what is the length of the shorter part?

### Answer:
