You have a piece of construction paper that measures 32 cm by 48cm. You want to cut it into squares of equal size. What will be the dimensions of the largest possible square? How many squares will you have?
Answers
Answer:
Step-by-step explanation:
1. If you want to cut in to squares of equal size, you need HCF.
HCF of 48 and 32 = 16.
ans 1 = 16cm.
2. The largest possible square will have demensions of 32cm as it is the smallest out of the 2 given numbers.
3. The number of squares is 6. What did was:
48/16 = 3
32/16 = 2
3 x 2 = 6.
The dimensions of the largest possible square will be 32cm and the number of squares that could be made out of this dimension would be 6.
Given:
A construction paper of dimensions 32cm x 48cm
To Find:
The largest possible dimensions of the largest possible square and the number of squares that could be made out of that dimension.
Solution:
To cut the sheet into equal squares, the HCF of the dimensions of the paper is to be found
Factors of 32 = 2 x 2 x 2 x 2 x 2 x 2
Factors of 48 = 2 x 2 x 3 x 2 x 2
The Highest Common Factor of 32 and 48 = 2 x 2 x 2 x 2
= 16
The largest possible square dimension would be 32cm as it is the smallest among the two numbers.
The number of squares formed will be given by the product obtained by dividing each of the dimensions of the construction paper with the HCF.
No. of squares = (32/16) x (48/16)
= 2 x 3
No. of squares = 6
Therefore, the number of squares that could be formed using the largest possible dimension would be 6 and the largest possible dimension to make a perfect square is 32cm.
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