Comprehension Passage

Directions: Study the following information carefully and answer the questions given below:

Three friends, Riddhi, Siddhi, and Nidhi go daily to the library for studying. Their paths are given as follows.

Riddhi walks 15 m towards the south from her house. After reaching point A she turns to her left and walks 10 m and reaches point B. She then turns to her left and walks 15 m to reach point C. She again turns to her right and walks 5 m to reach the library.

Siddhi starts walking in the west direction from her house. After walking 8 m, she reaches point D and turns left, walks 12 m to reach point E then turns right. She covers a distance of 9m to reach point F and then turns towards the left again. She reaches the library after walking 6m.  

Nidhi walks towards the east from her house. She covers a distance of 4 m to reach point G, then she turns towards the Southeast and walks a distance of 7 m and reaches point H. From here she turns towards the west covering a distance of 14 m to reach the point I and finally, she reaches the library after walking a distance of 7 m towards the northwest. 

If there is a point J in the 3m west of point I and to the south of the Library then what is the distance between point J and the library?

1
6m
2
8m
3
\(\sqrt{40}m \)
4
\(\sqrt{58}m \)
5
Cannot be determined

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