Question

Ammu started from her Office to home. She started in east direction. After walking for 4 km she turned to her left and walked 8 km, now she turned left and walked 2 km. After this she turned right and walked 4 km. Now after turning to her right she walked 13 km and reached home

Q. Find the shortest distance between her office and home?

• A. $2\sqrt{42}$
• B. $3\sqrt{41}$
• C. $5\sqrt{43}$
• D. $3\sqrt{47}$
• E. None of these

Answer 1

The correct option is B $3\sqrt{41}$

From the given information the figure can be plotted as

$\text{Distance from home to office =}\sqrt{{15}^2+{12}^2}=3\sqrt{41}$