maria has a rectangular piece of paper that measures 36cm by 54cm.she wants to cut it into square sheets of the same size.what is the largest size of square sheets can she get?
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Answers
Given :- maria has a rectangular piece of paper that measures 36cm by 54cm. she wants to cut it into square sheets of the same size.what is the largest size of square sheets can she get ?
Solution :-
we have,
→ Length of rectangular piece of paper = 54 cm.
→ Breadth of rectangular piece of paper = 36 cm.
she wants to cut it into square sheets of the same size. So, the largest size of square sheets will be HCF of 36cm and 54 cm.
Prime factors of 36 and 54 are :-
→ 36 = 2 * 2 * 3 * 3
→ 54 = 2 * 3 * 3 * 3
HCF = 2 * 3 * 3 = 18 .
Therefore, we can conclude that, the largest size of square sheets will be of 18 cm length.
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Answer:
Asked: The size of the largest square she can get
Given: dimensions: 36cm,54cm
Strategy to be used: division and multiplication (GCF)
Solution: GCF
54&36÷2=27&18
27&18÷3=9&6
9&6÷3=3&2
3•3•2=18
The answer is size so it must be at least 2 numbers/ dimensions.
square = 2 same dimensions
18cm × 18cm
Answer: 18cm × 18cm (324cm²)
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