how many squares of the largest possible size can you cut from a manila card of dimensions 84cm by 32cm without any wastage of materials?
Answers
Answer:
The side of the square should be 12 cm and 12 squares can be cut.
Step-by-step explanation:
Consider the provided information.
Dryll has a piece of manila paper 48 cm long and 36 cm wide.she wants to cut it into squares,the biggest possible,so that there is no wasted material.
In order to find the side of the square find the greatest common factor of both the numbers.
The prime factorization of the provided numbers are:
48 = 2×2×2×2×3
36 = 2×2×3×3
The greatest common factor is 2×2×3 = 12
Thus, the side of the square should be 12 cm.
Now we need to calculate how many of that square can be cut.
The area of the paper is 48×36 = 1728 cm²
The area of a square is 12×12 = 144 cm²
Thus, the number of squares are:
12
Hence, 12 squares can be cut
Answer:
the biggest possible square she can make would be a square 36 x 36. cm. only one square that size can be cut