SOLUTION: A rectangle measures 72cm by 108cm. A 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping. Explain Why.

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: A rectangle measures 72cm by 108cm. A 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping. Explain Why.      Log On


   

Question 989049: A rectangle measures 72cm by 108cm.
A 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping. Explain Why.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Many, many 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping.
It is possible because 72 and 108 are both divisible by 2 .
You can start by lining up in a row 54 such 2cm by 2cm squares along one of the 108cm long sides,
because 108cm%2F%222+cm%22=54 .
Then you would add more rows like that for a total of
72cm%2F%222+cm%22=36 rows.