A person starts driving from point A towards West for 12 km. Then they turn left and drive 6 km. Then they turn left again and drive 4 km. Then they turn right and drive 2 km. Then they turn right again and drive 3 km. Then they turn left and drive 3 km. Finally, they turn left and drive 11 km, stopping at point P. The question asks how far and in what direction the person needs to drive from point P to reach back to point A. All turns are 90 degrees.

1. Problem Description

A person starts driving from point A towards West for 12 km. Then they turn left and drive 6 km. Then they turn left again and drive 4 km. Then they turn right and drive 2 km. Then they turn right again and drive 3 km. Then they turn left and drive 3 km. Finally, they turn left and drive 11 km, stopping at point P. The question asks how far and in what direction the person needs to drive from point P to reach back to point A. All turns are 90 degrees.

2. Solution Steps

Let's track the movements in terms of North-South (N-S) and East-West (E-W) directions.

Initially at point A (0, 0).

* West 12 km: (-12, 0)

* Left (South) 6 km: (-12, -6)

* Left (East) 4 km: (-12+4, -6) = (-8, -6)

* Right (South) 2 km: (-8, -6-2) = (-8, -8)

* Right (West) 3 km: (-8-3, -8) = (-11, -8)

* Left (South) 3 km: (-11, -8-3) = (-11, -11)

* Left (East) 11 km: (-11+11, -11) = (0, -11)

So, the final point P is (0, -11). To reach A (0, 0) from P (0, -11), the person needs to move 11 km in the North direction.

3. Final Answer

11 km, North