Final answer:
To find the length of AB, subtract the lengths of the other sides from the total perimeter and solve for AB. The length of AB is 21.2 cm.
Step-by-step explanation:
To find the length of AB, we need to know the lengths of the other sides of ABCDE. Since the perimeter is the sum of all the side lengths, we can subtract the lengths of the other sides from the total perimeter to find the length of AB.
If we let the length of AB be x, then
Perimeter = AB + BC + CD + DE + EA = x + BC + CD + DE + EA = 106 cm
Since the polygon is regular, all sides have the same length. So, BC = CD = DE = EA = x.
Substituting the values into the equation, we get:
x + x + x + x + x = 106 cm
5x = 106 cm
x = 106 cm / 5
x = 21.2 cm
Therefore, the length of AB is 21.2 cm.