Rahul has 40 cm long red and 84 cm long blue ribbon. He cuts each ribbon into pieces such that all pieces are of equal length. What is the length of each piece?
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Answered by
21
Answer:
The H.C.F of 40 and 84 is 4.
Therefore the length of each piece is 4cm.
Answered by
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The length of each piece will be 4 cm.
Given,
Lengths of the two ribbons:
Red = 40 cm,
Blue = 84 cm.
Both are cut into smaller pieces of equal length.
To find,
Length of each piece.
Solution,
To determine the equal length of the pieces into which the two ribbons are cut, we need to find out the HCF of the length of the two ribbons.
Here, the lengths of the ribbons are,
red = 40 cm,
blue = 84 cm.
HCF of 40 and 84 can be determined as follows.
The factors of:
- 40, are: 1, 2, 4, 5, 8, 10, 20.
- 84, are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42.
From the above factors, we can see that,
the HCF of 40 and 84 is 4.
⇒ The length of each piece of equal length will be = 4 cm.
Therefore, the length of each piece will be 4 cm.
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