Answer: 3.61km or √13
Explanation:
Given Data:
Sides of hexagon = 2km each
Distance walked by Ama = 5km
Therefore;
Let Ama starting position be the origin.
With this She would travel along two edges and then go halfway along a third.
Her new x- coordinate would be
= 1 + 2 + 1/2 = 7/2
Because she travels a distance of 5km which translates to 2 and half side of the Hexagon
= 2*1/2
= 1km. On her x-coordinates
For her y-coordinate we use same principles as x-coordinates
= √3 + 0 - √3/2
= √3/2
Therefore her distance walked
= √ ( (7/2)^2 + (√ 3/2)^2 )
= √ ( 49/4 + 3/4 )
= √ 13
= 3.61km