Question

Michael is an art elective programnme student who is working on an assignment. He plans to cover a rectangular sheet of paper of dimensions 126 cm by 108 cm with identical square patterns. (i) What is the least number of square patterns that could be formed on the sheet of paper (ii) How do you determine what other shapes can the patterns be if they are to fit the sheet of paper perfectly? Explain your answer.

Answer 1

Answer:

Bla Bla Bla don't known this answer

Answer 2

Step-by-step explanation:

Let's find the prime factors of given numbers:

126= 2*3*3*7- this side can be cut into any number here or combination of numbers as per factors

108= 2*2*3*3*3 - same as above

As per prime factors, the squares can be of sizes:

2×2, 3×3, 6×6, 9×9 and 18×18

The least number can be obtained with the biggest size option 18×18, this will give 7*6=42 squares