Relative location between two houses using equal legs: Ahmed travels North from his house, then left (West), then South, all with equal distances, to reach Sohan's house. In which direction is Ahmed's house from Sohan's house?

Introduction / Context:Equal-length legs simplify to a net lateral shift. Identify the final relative direction of Ahmed's house from Sohan's house.

Given Data / Assumptions:

• North d, then West d, then South d.
• Equal d in each leg.

Concept / Approach:Vertical legs (North and South) cancel; the sole remaining net displacement is West by distance d. Therefore, Sohan's house is West of Ahmed's house, so Ahmed's house is East of Sohan's.

Step-by-Step Solution:

Verification / Alternative check:Draw a right-angled path; only horizontal shift remains.

Why Other Options Are Wrong:They imply residual North/South/West offset, which is canceled or opposite.

Common Pitfalls:Reporting direction of Sohan from Ahmed instead of Ahmed from Sohan.

Final Answer:East