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CEMC Gauss (Grade 8), 2009

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

Starting at point $P$ , Breenah constructs a straight sided spiral so that: all angles are $90^\circ$ ; after starting with a line segment of length 1, each side is 1 longer than the previous side. After completing the side with length 21, Breenah's distance from her original starting point $P$ will be between

(A) $13$ and $14$ (B) $14$ and $15$ (C) $15$ and $16$ (D) $16$ and $17$ (E) $17$ and $18$

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