That's good, except that 2*3.14 = 6.
28!
Here is my labeled figure:
View attachment 36897
The red is my work,
ignoring the 9 cm total length; I get (working counterclockwise from the far left)
3.5 + 4 + 3.5 + 2.87 + 2.87 + 4 + 6.28 = 27.02
The outer 2.87s are from the Pythagorean theorem, the 1.13 is 4 - 2.87, and the middle 2.87 is 4 - 1.13. The total length is 9.74.
The green is my work
ignoring the 2 cm height, as you are doing -- in effect taking the 9 as coming from rounding of 2.87 down to 2.5. If the 9 and 3.5 were correct, then the 2 would really be 2.45 (i.e. [imath]\sqrt{6}[/imath]). This way, my answer is
3.5 + 4 + 3.5 + 5 + 4 + 6.28 = 26.28
If we ignore the 3.5 cm diagonals, then we just replace the 3.5s with 3.20 and get
3.2 + 4 + 3.2 + 5 + 4 + 6.28 = 25.68
I'm very curious which answer (if any of these) they consider "correct". The problem itself, of course, is wrong.
I see problems like this occasionally in low level courses, and assume they are trying to be nice to the student, who perhaps is assumed not to know (or want to use) Pythagoras. But the least they could do is to round appropriately, calling it 3.2, which is quite close, rather than 3.5. And why include the 2 if they don't want you using it?