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A rectangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer.

Which expression represents the perimeter of the rectangle in units?

(1 point)
Responses

92x+52
9 halves x plus 5 halves

9x+5
9 x plus 5

92x+72
9 halves x plus 7 halves

9x+7
9 x plus 7
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page 10 of 10

3 answers

To find the perimeter of a rectangle, you can use the formula:

\[ \text{Perimeter} = 2(\text{length} + \text{width}) \]

If the lengths of the sides of the rectangle are given by polynomials, let’s denote the length as \( L \) and the width as \( W \).

Given that the expressions for the length and width are not provided in your question, I cannot compute the exact expression for the perimeter. However, if you substitute the appropriate polynomial expressions for \( L \) and \( W \) into the perimeter formula, you will have:

\[ \text{Perimeter} = 2(L + W) \]

From the options provided:

  1. \( 92x + 52 \)
  2. \( 9 \frac{1}{2} x + 5 \frac{1}{2} \)
  3. \( 9x + 5 \)
  4. \( 9 \frac{1}{2} x + 7 \frac{1}{2} \)
  5. \( 9x + 7 \)

After calculating \( 2(L + W) \), you can compare the result to these options to determine the correct one.

If you provide the specific polynomials for the length and width, I would be happy to help you calculate the perimeter and identify the correct answer!

A rectangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer.

Which expression represents the perimeter of the rectangle in units?

(1 point)
Responses

92x+52
9 halves x plus 5 halves

9x+5
9 x plus 5

92x+72
9 halves x plus 7 halves

9x+7
9 x plus 7
Skip to navigation
page 10 of 10

To determine the perimeter of a rectangle with the lengths of its sides represented by polynomials, we need the lengths of the two sides.

Let's denote the length as \( L \) and the width as \( W \). The formula for the perimeter \( P \) of a rectangle is:

\[ P = 2(L + W) \]

Since the specific polynomials for the length and width were not provided in your message, I will show you how to form the expression using a general example:

  1. Suppose \( L = ax + b \) (some polynomial) and \( W = cx + d \) (another polynomial).
  2. The expression for the perimeter would become:

\[ P = 2[(ax + b) + (cx + d)] = 2[(a + c)x + (b + d)] = 2(a + c)x + 2(b + d) \]

From the options you've given, it appears like there may have been some misunderstanding since polynomial expressions are expected to be formed to compute specific results.

However, if you have specific polynomials for the two sides of the rectangle, substitute them into the formula above and simplify to see which of the provided answer choices matches.

If you can provide those specific side lengths, I can compute the perimeter for you directly and compare it to the answers you provided:

  1. \( 92x+52 \)
  2. \( 9 \frac{1}{2} x + 5 \frac{1}{2} \)
  3. \( 9x+5 \)
  4. \( 92x+72 \)
  5. \( 9 \frac{1}{2} x + 7 \frac{1}{2} \)
  6. \( 9x+7 \)

Let me know the polynomials for the length and width!