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Select the equation that most accurately depicts the word problem.

The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of [tex]L[/tex] inches, plus twice the width of 9 inches.

A. [tex]68 = 2L + 2(9)[/tex]

B. [tex]68 = \frac{2}{L} + \frac{2}{9}[/tex]

C. [tex]68 = 2(-9)[/tex]

D. [tex]68 = 9(L + 2)[/tex]

E. [tex]68 = 9L + 2[/tex]

F. [tex]68 = \frac{L}{2} + 2(9)[/tex]

Answer :

To solve the problem, we're looking for an equation that represents the perimeter of a rectangle. The problem gives us specific details:

1. Perimeter of the rectangle: 68 inches.
2. Width of the rectangle: 9 inches.

The formula for the perimeter [tex]\( P \)[/tex] of a rectangle is given by:

[tex]\[ P = 2 \times \text{Length} + 2 \times \text{Width} \][/tex]

Based on the problem, we can substitute the given perimeter and width into the formula:

- Substitute [tex]\( P \)[/tex] with 68.
- Substitute the width with 9 inches.

So, the equation becomes:

[tex]\[ 68 = 2 \times L + 2 \times 9 \][/tex]

This equation matches the option:

[tex]\[ 68 = 2L + 2(9) \][/tex]

Therefore, the correct equation that most accurately depicts the word problem is:

[tex]\[ 68 = 2L + 2(9) \][/tex]

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