Q. 1143.6( 5 Votes )

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters × 80 meters. How much shorter is the route across the park than the route around its edges?

Answer :

Given: The park measures 60 meters × 80 meters


Formula Used/Theory:-


Pythagoras theorem:-


side2 + side2 = Hypotenuse2


As when we cut rectangular park diagonally


We get 2 right angled triangle


With length and breadth as 2 sides


And diagonal as hypotenuse


length2 + breadth2 = diagonal2


602 + 802 = diagonal2


3600 + 6400 = diagonal2


Diagonal2 = 10000


Diagonal = √10000


= 100 meters


if she moves by edges she will cover


Distance of length + breadth


= 80 + 60 = 140 meters


140 meters – 100 meters = 40 meters


She travel 40 meters less when she travel diagonally


Result:- Jayanti travel 40 meters less when she travel


diagonally


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
RELATED QUESTIONS :