# Sunita and her friend were standing at oppsite corners of rectangular park of size 120m ×50m. for metting her friend sunita followed the shortest route.find the distance covered by sunita in doing so?

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hypotenuse square = side square + side square

let the diagonal be shown by the variable x

x^2 = 120^2 + 50^2.

x^2 = 14400 + 2500

x^2 = 16900

x = square root of 16900

= 130 m

The path is rectangular and so the two friends are standing in two corners so the shortest distance to travel to meet each other will be a diagonal of the rectangle .

So the length and breadth are 120 m and 50 m respectively,

According to the Pythagoras theorem : -

Hypotenuse² = L²+B²

⇒ H² = 14400+2500

⇒ H² = 16900

⇒ H=√16900

H =

Hence , the shortest distance is 13 m.

I hope the answer is correct !

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Thank you !

Happy Holi !!