Explanation:

- Srinija initially walks 9 km west from her home.

- Next, she turns south and walks 11 km.

- She then walks 13 km east.

- Finally, she walks 4 km west.

Let's calculate her final position relative to her starting point:

- After walking west and then east: \(9 \, \text{km} - 13 \, \text{km} + 4 \, \text{km} = 0 \, \text{km}\). This means she's 0 km in the east-west direction.

- Vertically, she walked 11 km south.

Using the Pythagorean theorem to find the distance from the starting point:

$$ \sqrt{0^2 + 11^2} \, \text{km} = 11 \, \text{km} $$

Correct Option: Option 1: 11 KM