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Answer :
To solve this problem, we need to understand how to calculate the perimeter of a rectangle. The formula for the perimeter [tex]\( P \)[/tex] of a rectangle is given by:
[tex]\[ P = 2L + 2W \][/tex]
where [tex]\( L \)[/tex] is the length and [tex]\( W \)[/tex] is the width of the rectangle.
Now, let's go step-by-step through the details provided in the problem:
1. Perimeter of the Rectangle: The perimeter is given as 68 inches.
2. Width of the Rectangle: The width [tex]\( W \)[/tex] is provided as 9 inches.
Using the formula for the perimeter, we can substitute what we know:
[tex]\[ 68 = 2L + 2 \times 9 \][/tex]
Let's simplify this equation:
- Calculate [tex]\( 2 \times 9 \)[/tex]: This equals 18.
Therefore, the equation simplifies to:
[tex]\[ 68 = 2L + 18 \][/tex]
From the multiple-choice options given in the problem, the correct equation is:
[tex]\[ 68 = 2L + 2(9) \][/tex]
This choice accurately represents how the perimeter of the rectangle is calculated using the given length and width values.
[tex]\[ P = 2L + 2W \][/tex]
where [tex]\( L \)[/tex] is the length and [tex]\( W \)[/tex] is the width of the rectangle.
Now, let's go step-by-step through the details provided in the problem:
1. Perimeter of the Rectangle: The perimeter is given as 68 inches.
2. Width of the Rectangle: The width [tex]\( W \)[/tex] is provided as 9 inches.
Using the formula for the perimeter, we can substitute what we know:
[tex]\[ 68 = 2L + 2 \times 9 \][/tex]
Let's simplify this equation:
- Calculate [tex]\( 2 \times 9 \)[/tex]: This equals 18.
Therefore, the equation simplifies to:
[tex]\[ 68 = 2L + 18 \][/tex]
From the multiple-choice options given in the problem, the correct equation is:
[tex]\[ 68 = 2L + 2(9) \][/tex]
This choice accurately represents how the perimeter of the rectangle is calculated using the given length and width values.
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