From a rectangular sheet of paper 30cm by 21cm. Leena wants to cut out equal square pieces of paper. What is the maximum length of the side of these square? How many square pieces will Leena get from the sheet of paper?
Answers
Answer:
Maximum length of square = 3 cm
Number of square can be cut of length 3 cm = 70
Step-by-step explanation:
Given
length of rectangular paper = L = 30 cm
Breath of rectangular paper = B = 21 cm
We know that Area of rectangle = L × B
Putting values we get
Area of rectangle = 30×21 = 630 cm²
Since
30 = 2×3×5
21 = 3×7
Highest common factor of 30 and 21 = 3
So
Leena can cut the square of maximum length = 3 cm
And
If Leena cut sheet into square of side maximum = 3×3 = 9 cm²
Then
Leena can cut the number of squares = 630/9 = 70
Thus
Number of squares = 70
Answer:
70 squares
Step-by-step explanation:
From a rectangular sheet of paper 30cm by 21cm. Leena wants to cut out equal square pieces of paper. What is the maximum length of the side of these square? How many square pieces will Leena get from the sheet of paper?
Size of sheet = 30 cm * 21 cm
30 = 2 * 3 * 5
21 = 3 * 7
HCF = 3
Maximum side of these squares would be 3 cm
Area of one square = 3 * 3 = 9 cm
Area of sheet = 30 * 21
Number of squares = 30 * 21 / 9 = 70