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Answer :
To solve the word problem, we need to determine the correct equation that represents the given situation about the perimeter of a rectangle.
1. Understanding the problem:
- We know that the perimeter of a rectangle is given by the formula:
[tex]\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Width})
\][/tex]
- In the problem, the perimeter is stated to be 68 inches.
- It is also mentioned that the width of the rectangle is 9 inches.
2. Expressing the equation with known values:
- Since the width is 9 inches, we can substitute this value into the perimeter formula.
- The equation becomes:
[tex]\[
68 = 2 \times (L + 9)
\][/tex]
- Simplifying the equation further, we distribute the 2 into the expression inside the parentheses:
[tex]\[
68 = 2 \times L + 2 \times 9
\][/tex]
3. Identifying the correct option:
- From the options given in the problem, the equation matching what we derived is:
[tex]\[
68 = 2L + 2(9)
\][/tex]
This equation correctly models the perimeter of the rectangle with the given conditions, making option [tex]\(68 = 2L + 2(9)\)[/tex] the accurate choice.
1. Understanding the problem:
- We know that the perimeter of a rectangle is given by the formula:
[tex]\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Width})
\][/tex]
- In the problem, the perimeter is stated to be 68 inches.
- It is also mentioned that the width of the rectangle is 9 inches.
2. Expressing the equation with known values:
- Since the width is 9 inches, we can substitute this value into the perimeter formula.
- The equation becomes:
[tex]\[
68 = 2 \times (L + 9)
\][/tex]
- Simplifying the equation further, we distribute the 2 into the expression inside the parentheses:
[tex]\[
68 = 2 \times L + 2 \times 9
\][/tex]
3. Identifying the correct option:
- From the options given in the problem, the equation matching what we derived is:
[tex]\[
68 = 2L + 2(9)
\][/tex]
This equation correctly models the perimeter of the rectangle with the given conditions, making option [tex]\(68 = 2L + 2(9)\)[/tex] the accurate choice.
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