Attachment:
From X to Y.png [ 1.96 KiB | Viewed 437 times ]
From the figure, we have the path the girl has taken to get from X to Y.
Since, the three triangles are right angled triangles, the sum of their
hypotenuse is the shortest distance to get from the point X to Y.
The hypotenuse of the right triangle with sides 1 and 2 is \(\sqrt{1+4} = \sqrt{5}\)
The hypotenuse of the other two isosceles right angles triangles(both sides = 1) is \(\sqrt{1+1} = \sqrt{2}\)
The shortest distance is \(\sqrt{5} + 2*\sqrt{2}= 2.2 + 2*1.4 = 5\)
(Option C)
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