Question

question 10 of 10
what is the perimeter of the nonagon below?

a. 96 units
b. 94 units
c. 92 units
d. 90 units

Explanation:

Step1: Identify all side lengths

The side lengths of the nonagon are: \( AB = 13 \), \( BC = 8 \), \( CD = 5 \), \( DE = 11 \), \( EF = 10 \), \( FG = 9 \), \( GH = 10 \), \( HI = 7 \), \( IA = 21 \).

Step2: Sum all side lengths

To find the perimeter, we sum all these lengths:
\( 13 + 8 + 5 + 11 + 10 + 9 + 10 + 7 + 21 \)
First, add step - by - step:
\( 13+8 = 21 \); \( 21 + 5=26 \); \( 26+11 = 37 \); \( 37+10 = 47 \); \( 47+9 = 56 \); \( 56+10 = 66 \); \( 66+7 = 73 \); \( 73+21 = 94 \).

Answer:

B. 94 units