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Answer :
Let's solve the problem step by step to find the equation that represents the perimeter of a rectangle:
1. Understand the Problem:
- The perimeter of a rectangle is given as 68 inches.
- The formula for the perimeter [tex]\( P \)[/tex] of a rectangle is [tex]\( P = 2 \times \text{Length} + 2 \times \text{Width} \)[/tex].
2. Identify the Values:
- We need to identify the length [tex]\( L \)[/tex] and the width. The problem states that the width is 9 inches.
3. Set up the Equation:
- Using the perimeter formula:
[tex]\[
68 = 2 \times L + 2 \times 9
\][/tex]
4. Simplify the Equation:
- Calculate the term [tex]\( 2 \times 9 \)[/tex], which equals 18.
- Substitute this into the equation:
[tex]\[
68 = 2L + 18
\][/tex]
5. Conclusion:
- The equation that most accurately depicts the word problem is:
[tex]\[
68 = 2L + 18
\][/tex]
This equation correctly represents the given conditions of the rectangle's perimeter.
1. Understand the Problem:
- The perimeter of a rectangle is given as 68 inches.
- The formula for the perimeter [tex]\( P \)[/tex] of a rectangle is [tex]\( P = 2 \times \text{Length} + 2 \times \text{Width} \)[/tex].
2. Identify the Values:
- We need to identify the length [tex]\( L \)[/tex] and the width. The problem states that the width is 9 inches.
3. Set up the Equation:
- Using the perimeter formula:
[tex]\[
68 = 2 \times L + 2 \times 9
\][/tex]
4. Simplify the Equation:
- Calculate the term [tex]\( 2 \times 9 \)[/tex], which equals 18.
- Substitute this into the equation:
[tex]\[
68 = 2L + 18
\][/tex]
5. Conclusion:
- The equation that most accurately depicts the word problem is:
[tex]\[
68 = 2L + 18
\][/tex]
This equation correctly represents the given conditions of the rectangle's perimeter.
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