GAUSS8 2009 Problem 24

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

Image

Answer Choices
A. 13 and 14
B. 14 and 15
C. 15 and 16
D. 16 and 17
E. 17 and 18