Question

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

Answer 1

since we need the shortest route...it will clearly be the diagonal of the rectangle...

if we let that distance be x..
then using Pythagoras theorem...

x sq.= (50)sq + (120)sq.

x= √16900
x= 130m

so 130m is the shortest distance sunita has to cover...

Answer 2

The shortest route is the route of the diagonal.
Let the diagonal be d
ATQ,
(120)*2+(50)*2=d*2
14400+2500=d*2
d=√16900
d=130
The distance covered by Sunita is 130 m