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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]
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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