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

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