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C. 1240. Pentagon $\displaystyle ABCDE$ is obtained by rotating pentagon $\displaystyle HICBG$ about $\displaystyle C$, and pentagon $\displaystyle FGBAE$ is obtained by rotating pentagon $\displaystyle ABCDE$ about $\displaystyle E$, as shown in the sketch. The length of line segment $\displaystyle AB$ is 7 cm.

What is the total length of the 11 line segmets?

Based on a German competition problem

(5 points)

Deadline expired on 10 October 2014.

Statistics on problem C. 1240.
 378 students sent a solution. 5 points: 311 students. 4 points: 28 students. 3 points: 11 students. 1 point: 3 students. 0 point: 10 students. Unfair, not evaluated: 9 solutions. Unfair, not evaluated: 6 solutions.

• Problems in Mathematics of KöMaL, September 2014

•  Támogatóink: Morgan Stanley