To determine the distance and direction from Point P back to Point A, we need to trace Simar's movements and find the net displacement.

Tracing Simar's Driving Route

Let's assume the starting Point A is at the origin (0, 0) on a coordinate plane, with North being the positive y-axis and East being the positive x-axis.

• Movement 1: Drives 10 km South. New position: (0, -10).
• Movement 2: Turns right (facing West) and drives 7 km. New position: (-7, -10).
• Movement 3: Turns right (facing North) and drives 12 km. New position: (-7, -10 + 12) = (-7, 2).
• Movement 4: Turns right (facing East) and drives 9 km. New position: (-7 + 9, 2) = (2, 2).
• Movement 5: Turns right (facing South) and drives 2 km. New position: (2, 2 - 2) = (2, 0). This is the final Point P.

Calculating Return Path to Point A

Simar's final position is Point P at (2, 0). The starting Point A is at (0, 0).

• To return to Point A (0, 0) from Point P (2, 0), Simar needs to change his x-coordinate from 2 to 0 and keep his y-coordinate at 0.
• The change in the x-coordinate is $0 - 2 = -2$. A negative change in the x-coordinate represents movement towards the West.
• The change in the y-coordinate is $0 - 0 = 0$. There is no North or South movement required.
• The distance is the magnitude of the change along the x-axis, which is $|-2|$ km = 2 km.
• The direction is West.

Therefore, Simar needs to drive 2 km to the west to reach Point A again.