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?
Given: The park measures 60 meters × 80 meters
⇒ 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
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