Answer:
6.1 cm
Step-by-step explanation:
You want to know the remaining side of the irregular figure such that the perimeter is 110 cm.
Perimeter
The perimeter of a plane figure is the sum of the lengths of the sides. Working clockwise from the upper left corner, we have ...
34.6 +8.6 +17.3 +11.6 +? +11.6 +11.6 +8.6 = 110
103.9 +? = 110 . . . . collect terms
? = 6.1 . . . . . . . . . subtract 103.9
The length of the missing side is 6.1 cm.
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Additional comment
If the angles that appear to be right angles actually were right angles, the perimeter would be 109.6 cm. The perimeter is longer than this, so at least three of the angles are not right angles.
