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The rule, which gives the number of matchsticks required to make the matchstick pattern L, is
- a)2n
- b)3n
- c)4n
- d)5n
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The rule, which gives the number of matchsticks required to make the m...
from the figure it is confirmed that we need 2 matchstick minium for a 'L' shape. so matchsticks will be multiple of 2. so, we need 2n matchsticks
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The rule, which gives the number of matchsticks required to make the m...
Explanation:
To understand why the correct answer is option 'A' (2n), let's break down the matchstick pattern L and analyze the number of matchsticks required at each step.
1. Drawing the letter 'L':
To draw the letter 'L', we need a vertical line and a horizontal line attached to its lower end. This requires 2 matchsticks.
2. Scaling the pattern:
If we want to scale the pattern by a factor of 'n', it means we are making 'n' copies of the pattern. So, we will have 'n' vertical lines and 'n' horizontal lines attached to their lower ends.
3. Total number of matchsticks:
To calculate the total number of matchsticks required, we need to add up the matchsticks used in each step.
In step 1, we used 2 matchsticks to draw the letter 'L'.
In step 2, we scaled the pattern by 'n', so we added 'n' vertical lines and 'n' horizontal lines. Each line requires 1 matchstick. Therefore, in step 2, we used a total of 2n matchsticks.
Adding the matchsticks used in step 1 and step 2, we get:
Total matchsticks = 2 + 2n = 2(n + 1)
Therefore, the rule to determine the number of matchsticks required to make the matchstick pattern L is 2n, which is option 'A'.
Summary:
The correct answer is option 'A' (2n) because when scaling the pattern by a factor of 'n', we add 'n' vertical and 'n' horizontal lines, each requiring 1 matchstick. Thus, the total number of matchsticks required is 2n.
To understand why the correct answer is option 'A' (2n), let's break down the matchstick pattern L and analyze the number of matchsticks required at each step.
1. Drawing the letter 'L':
To draw the letter 'L', we need a vertical line and a horizontal line attached to its lower end. This requires 2 matchsticks.
2. Scaling the pattern:
If we want to scale the pattern by a factor of 'n', it means we are making 'n' copies of the pattern. So, we will have 'n' vertical lines and 'n' horizontal lines attached to their lower ends.
3. Total number of matchsticks:
To calculate the total number of matchsticks required, we need to add up the matchsticks used in each step.
In step 1, we used 2 matchsticks to draw the letter 'L'.
In step 2, we scaled the pattern by 'n', so we added 'n' vertical lines and 'n' horizontal lines. Each line requires 1 matchstick. Therefore, in step 2, we used a total of 2n matchsticks.
Adding the matchsticks used in step 1 and step 2, we get:
Total matchsticks = 2 + 2n = 2(n + 1)
Therefore, the rule to determine the number of matchsticks required to make the matchstick pattern L is 2n, which is option 'A'.
Summary:
The correct answer is option 'A' (2n) because when scaling the pattern by a factor of 'n', we add 'n' vertical and 'n' horizontal lines, each requiring 1 matchstick. Thus, the total number of matchsticks required is 2n.
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The rule, which gives the number of matchsticks required to make the matchstick pattern L, isa)2nb)3nc)4nd)5nCorrect answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The rule, which gives the number of matchsticks required to make the matchstick pattern L, isa)2nb)3nc)4nd)5nCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The rule, which gives the number of matchsticks required to make the matchstick pattern L, isa)2nb)3nc)4nd)5nCorrect answer is option 'A'. Can you explain this answer?.
The rule, which gives the number of matchsticks required to make the matchstick pattern L, isa)2nb)3nc)4nd)5nCorrect answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The rule, which gives the number of matchsticks required to make the matchstick pattern L, isa)2nb)3nc)4nd)5nCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The rule, which gives the number of matchsticks required to make the matchstick pattern L, isa)2nb)3nc)4nd)5nCorrect answer is option 'A'. Can you explain this answer?.
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