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Problem C. 1240. (September 2014)

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 pont)

Deadline expired on 10 October 2014.


Statistics:

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.

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