The ratio of the two parts is 2:3
This means that the shorter part is 2/(2+3) = 2/5 of the total length
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:
A 40 meters rope was cut into 2 parts in the ratio of 2:3. How long is the shorter part?

### Answer:
