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If the perimeter of a rectangle is 20 cm and its length is 6 cm, what is its breadth?
  • a)
    2 cm
  • b)
    4 cm
  • c)
    6 cm
  • d)
    8 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the perimeter of a rectangle is 20 cm and its length is 6 cm, what ...
Perimeter of a rectangle = 2 × (Length + Breadth). Given 20 cm = 2 × (6 cm + Breadth). Solving for Breadth, Breadth = (20 cm / 2) - 6 cm = 4 cm.
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Most Upvoted Answer
If the perimeter of a rectangle is 20 cm and its length is 6 cm, what ...
Understanding the Problem
To find the breadth of the rectangle given its perimeter and length, we start with the formula for the perimeter of a rectangle:
- Perimeter (P) = 2 * (Length + Breadth)
In this case, we know:
- Perimeter = 20 cm
- Length = 6 cm
Step-by-Step Calculation
1. Substituting the Known Values:
- Substitute the given values into the perimeter formula:
- 20 = 2 * (6 + Breadth)
2. Simplifying the Equation:
- Divide both sides by 2 to simplify:
- 10 = 6 + Breadth
3. Finding the Breadth:
- Rearranging the equation to solve for Breadth:
- Breadth = 10 - 6
- Breadth = 4 cm
Conclusion
Thus, the breadth of the rectangle is 4 cm.
Answer Options Recap
- a) 2 cm
- b) 4 cm (Correct answer)
- c) 6 cm
- d) 8 cm
This confirms that option 'B' is indeed the correct answer. By breaking down the problem step-by-step, we effectively determined the breadth of the rectangle.
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