I went 10m to the East from my house, then turned north and walked another 15m, and then I turned west and covered 12m, and then turned south and covered 15m. How far am I from my house?

0 m

1 m

2 m

3 m

Let's break down the movements step by step:

East 10 meters:

You are now 10 meters east of your house from the starting point.

North 15 meters:

Now you're 10 meters east and 15 meters north of your house.

West 12 meters:

Moving west by 12 meters puts you 2 meters west of your house (because 12 - 10 = 2).

South 15 meters:

Moving south 15 meters brings you back to your house's north-south position (because 15 meters north - 15 meters south = 0).

So now you're 2 meters west and 0 meters north-south from your house.

The distance from your house is simply 2 meters.