14. Michael is an art elective programme student whois working on an a

1.	14. Michael is an art elective programme student whois working on an assignment. He plans to cover arectangular sheet of paper of dimensions 126 cm by108 cm with identical square patterns.( What is the least number of square patternsthat could be formed on the sheet of paper?() How do you determine what other shapescan the patterns be if they are to fit the sheet ofpaper perfectly? Explain your answer.
Answer» Answer: Let's find the prime factors of given numbers: 126= 2337- this SIDE can be cut into any NUMBER here or combination of numbers as per factors 108= 22333 - 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 76=42 squares Step-by-step explanation: *hope* it *helped* *you* *friend* if it *helps* *you* *mark* it as *brainliest*

14. Michael is an art elective programme student whois working on an assignment. He plans to cover arectangular sheet of paper of dimensions 126 cm by108 cm with identical square patterns.( What is the least number of square patternsthat could be formed on the sheet of paper?() How do you determine what other shapescan the patterns be if they are to fit the sheet ofpaper perfectly? Explain your answer.

Answer»

Answer:

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

Step-by-step explanation: