Total East distance = 3 miles (3 X 1 mile east)
Total North distance= 4 miles (2+1+1 north)

this is triangle with hyp as the shortest distance , so by Pythagorean triplets hyp= 5 miles

C
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We can depict the route from point X to point Y by the diagram above. We see that the shortest distance between X and Y is the dotted segment. Since the girl really travels 3 miles east and 4 miles north, we can create a right triangle such that the hypotenuse is the dotted segment and two legs are 3 and 4 (blue segments). Since this is a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse or by recognizing this triangle is a 3-4-5 right triangle. Therefore, we see that the shortest distance between X and Y is 5 miles.

Answer: C
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