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MathNet 2026 — Part 01 Question 36

Math Olympiad Vault · MathNet 2026 — Part 01

Question 36

Florinda went for a walk. She left point $A$ and walked $1~\mathrm{m}$. At this point it turned to the left an angle of $90^\circ$ and walked to $2~\mathrm{m}$. At the last point she turned left, and walked $3~\mathrm{m}$. She kept walking this way until on the last stretch she walked $30~\mathrm{m}$ and reached her end point that we will call point $B$. The following figure illustrates the first seven sections of Florinda's ride (note that point $B$ is not illustrated). Question illustration Calculate the distance between points $A$ and $B$.