Question

find the perimeter. simplify your answer.
9c-2
2c+8
2c+8
9c-2
submit

Explanation:

Step1: Recall perimeter formula for parallelogram

Perimeter \( P \) of a parallelogram is the sum of all its sides. A parallelogram has two pairs of equal sides. So, \( P = 2\times(\text{length} + \text{width}) \). Here, the sides are \( 9c - 2 \) (two of them) and \( 2c + 8 \) (two of them). So we can also calculate it as \( P=(9c - 2)+(2c + 8)+(9c - 2)+(2c + 8) \).

Step2: Combine like terms

First, group the \( c \) terms and the constant terms:
\( (9c + 2c + 9c + 2c)+(- 2 + 8 - 2 + 8) \)
For the \( c \) terms: \( 9c+2c + 9c+2c=(9 + 2+9 + 2)c=22c \)
For the constant terms: \( -2 + 8-2 + 8=( - 2-2)+(8 + 8)=-4 + 16 = 12 \)
So, the perimeter \( P = 22c+12 \)

Answer:

\( 22c + 12 \)