Question : Directions: Rehana drives 6 km west from her home turns left and drives 3 km and then turns left again and drives 10 km to reach the office. What is the shortest distance between Rehana’s home and office?
Option 1: 5 km
Option 2: 9 km
Option 3: 10 km
Option 4: 4 km
Correct Answer: 5 km
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the shortest distance between home (A) to office (E).
The shortest distance between E to A by using Pythagoras' theorem –
EA
2
= DE
2
+ DA
2
EA
2
= 4
2
+ 3
2
EA
2
= 16 + 9
EA = 5
Therefore, the shortest distance between home to office is 5 km. Hence, the first option is correct.
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