Rajesh starts walking from his house to office. Instead of going to the office directly, he goes to a mall first, from there to his wife’s office and then reaches the office. What is the extra distance travelled by Rajesh in reaching his office? Assume
that all distance covered are in straight lines, if the house is situated at (2,4), mall at (5,8), wife’s office at (13,14) and office at (13,26) and coordinates are in kilometre.
Answers
2.4 km is the extra distance travelled by Rajesh in reaching his office
Step-by-step explanation:
Rajesh starts walking from his house (2 , 4)
he goes to a mall first ( 5 , 8)
Distance covered from office to Mall
= √(5 -2)² + (8 - 4)² = √(9 + 16) = √25 = 5 km
from Mall to his wife’s office ( 13 , 14)
Distance = √(13 -5)² + (14 - 8)² = √(64 + 36) = √100 = 10 km
then reaches the office ( 13 , 26)
Distance = √(13 -13)² + (26 - 14)² = √(0 + 144) = √144 = 12 km
Total Distance covered = 5 + 10 + 12 = 27 km
Distance between home & office
Distance = √(13 -2)² + (26 - 4)² = √(121 +484) = √605 = 24.6 km
Extra Distance covered = 27 - 24.6 = 2.4 km
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Answer:
Check out the attached image for a diagram for better understanding and correct answer
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