a) Estelle has some rectangular tiles that are 12 cm long and 4 cm wide.
What is the smallest number of these tiles that are needed to make a
square?
b) Mason has some rectangular tiles that are 11 cm long and 3 cm wide.
What is the smallest number of these tiles that are needed to make a
square?

Respuesta :

a) 12 tiles

b) 11 tiles

Taking the question literally and assuming the tiles can be any size so long as they are square and all the same size. The largest tile size that will work will therefore be the greatest common factor of 12 and 16, which is 4.

Ergo, the task requires (12/4)*(16/4) = 3x4 = 12 tiles of size 4x4.

Taking the question literally and assuming the tiles can be any size so long as they are square and all the same size. The largest tile size that will work will therefore be the greatest common factor of 11 and 9 which is 3.

Ergo, the task requires (11/3)*(9/3) = 3x4 = 11 tiles of size 4x4.

For more information about LCM,visit

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