UKMT Pink Kangaroo, 2015

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

In the grid, each small square has side of length 1. What is the minimum distance from 'Start' to 'Finish' travelling only on edges or diagonals of the squares?

(A) $2\sqrt{2}$ (B) $\sqrt{10}+\sqrt{2}$ (C) $2+2\sqrt{2}$ (D) $4\sqrt{2}$ (E) $6$

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