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If the perimeter of a rectangle is 36 m and the length is 10 m, what is the width?

  • a)
    4 m

  • b)
    8 m

  • c)
    6 m

  • d)
    9 m

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the perimeter of a rectangle is 36 m and the length is 10 m, what i...
Perimeter of a rectangle = 2 × (Length + Width). Given 36 m = 2 × (10 m + Width). Solving for Width, we get Width = (36 m / 2) - 10 m = 6 m.
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Most Upvoted Answer
If the perimeter of a rectangle is 36 m and the length is 10 m, what i...
Understanding the Problem
To find the width of a rectangle when the perimeter and length are given, we can use the formula for the perimeter of a rectangle:
- Perimeter (P) = 2 × (Length + Width)
In this case:
- P = 36 m
- Length = 10 m
Steps to Calculate the Width
1. Substituting Values into the Formula:
- We know the perimeter and the length, so we can plug in these values:
- 36 = 2 × (10 + Width)
2. Simplifying the Equation:
- Divide both sides of the equation by 2 to isolate the term in parentheses:
- 36 ÷ 2 = 10 + Width
- This simplifies to:
- 18 = 10 + Width
3. Solving for Width:
- To find the width, subtract 10 from both sides:
- Width = 18 - 10
- Width = 8 m
Conclusion
The width of the rectangle is 8 m. Therefore, the correct answer is option 'B'.
Summary
- Given:
- Perimeter = 36 m
- Length = 10 m
- Formula Used:
- Perimeter = 2 × (Length + Width)
- Calculation Steps:
- 36 = 2 × (10 + Width)
- 18 = 10 + Width
- Width = 8 m
This logical approach leads us to the conclusion that the width of the rectangle is indeed 8 meters.
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