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 October 10, 2014.

Statistics:

372 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 solutionss.

Problems in Mathematics of KöMaL, September 2014