Directions (38-40): Study the information carefully and answer the questions given below.

Rohit is standing at point A and wants to reach point E. He can only move in a straight line, but there are obstacles in his path. Rohit first moves 4 km towards the north and reaches point B. From there, he turns left and moves 3 km towards the west and reaches point C. He then turns left again and moves 5 km towards the south and reaches point D. Finally, he turns right and moves 8 km and reaches point E. Sonia wants to travel from point E to point A, but there is an additional obstacle in her path. There is a mountain between points E and A, which she cannot cross. Sonia first moves 5 km towards the south from point E and reaches point F. From there, she turns right and moves 6 km and reaches point G. She then turns left and moves 7 km towards the south and reaches point H. Finally, she turns right and moves 3 km and reaches point I. From point I, Sonia needs to reach point A, with shortest distance.

What is the total distance Rohit needs to travel from point A to point G?

To find the total distance Rohit needs to travel from point A to point G, let us trace Rohit's path step-by-step and then continue along the path towards point G.

Let us first analyze the coordinates of each point by setting Rohit's starting position, point A, as the origin $(0,0)$.

1. Rohit starts at point A $(0,0)$ and moves 4 km towards the north to reach point B.
Point B is at $(0,4)$.
Distance A to B = 4 km.

2. From point B, he turns left (west) and moves 3 km to reach point C.
Point C is at $(-3,4)$.
Distance B to C = 3 km.

3. From point C, he turns left (south) and moves 5 km to reach point D.
Point D is at $(-3,-1)$.
Distance C to D = 5 km.

4. From point D, he turns right (which is west when facing south) and moves 8 km to reach point E.
Point E is at $(-11,-1)$.
Distance D to E = 8 km.

Now, let us continue the path from point E towards point G as described in Sonia's path (since the question asks for the total distance Rohit needs to travel from A to G, following the path setup):

5. From point E, the movement is 5 km towards the south to reach point F.
Point F is at $(-11,-6)$.
Distance E to F = 5 km.

6. From point F, the turn is to the right (which is west when facing south) and the movement is 6 km to reach point G.
Point G is at $(-17,-6)$.
Distance F to G = 6 km.

Now, we sum all the segments of the path from point A to point G:
Total Distance = (Distance A to B) + (Distance B to C) + (Distance C to D) + (Distance D to E) + (Distance E to F) + (Distance F to G)
Total Distance = 4 km + 3 km + 5 km + 8 km + 5 km + 6 km
Total Distance = 31 km

Therefore, the total distance Rohit needs to travel from point A to point G is 31 km.