To find the perimeter of a rectangle, we use the formula:
\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}). \]
If the lengths of the sides are represented by polynomials, let’s denote the length as \( L \) and the width as \( W \). The perimeter can be calculated as follows:
\[ \text{Perimeter} = 2 \times (L + W). \]
In the options provided (which seem to have been cut off), we’re missing the specific polynomials for length and width. However, assuming the length \( L \) is represented by an expression like \( 9x + 5 \) and the width \( W \) by an expression like \( 9x + 7 \), then:
First, we calculate the sum of the length and width:
\[ L + W = (9x + 5) + (9x + 7) = 18x + 12. \]
Next, we compute the perimeter:
\[ \text{Perimeter} = 2 \times (L + W) = 2 \times (18x + 12) = 36x + 24. \]
However, since the specific expressions you referred to (for length and width) are not provided directly, if you provide those, I can directly compute the perimeter for those specific polynomials and find the corresponding answer from your response options.
If the polynomials were indeed \( 9x + 5 \) and \( 9x + 7 \), the perimeter is \( 36x + 24 \). Please clarify or provide the exact expressions for length and width if they differ from these assumed ones.