A rectangle measures 72cm by 108cm a) a 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping. Expain why. b) How can you use the common factors of 72 an 108 to identify al the squares that can be used to cover the rectangle? c) List all other with whole-number dimensions that can be used to cover the rectangle

Question

Javier Haas

Mathematics

12 July, 21:41

A rectangle measures 72cm by 108cm a) a 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping. Expain why. b) How can you use the common factors of 72 an 108 to identify al the squares that can be used to cover the rectangle? c) List all other with whole-number dimensions that can be used to cover the rectangle

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A) A 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping because the area of the rectangle that measures 72cm by 108cm and the 2cm by 2cm square has an area of 4cm squared. Using this knowledge, you can find that 1944 squares can fit the rectangle.