Question

Rekha starts traveling from her office and rides 5 km east up to a coffee shop and turns southwards and rides 3 km up to her friend’s house. At the friend’s house, she turns to east and rides 7 km up to her home. She then turns northwards and rides 21 km to a restaurant. How far is she from her office?

• A. $6\sqrt{13}$
• B. $5\sqrt{13}$
• C. 7
• D. $6\sqrt{12}$
• E. $12\sqrt{2}$

Answer 1

The correct option is A $6\sqrt{13}$

The using the given information the figure can be drawn as
Total distance from starting point to destination
$=\sqrt{{12}^2+{18}^2}=6\sqrt{13}$