Question

Some rectangular tiles measure 15 cm by 9 cm . What is the length of the side of the smallest square area that can be covered by these tiles? PLS HELP

Answer 1

45 cm

Explanation:

Find LCM(15,9). First factor both numbers:

`15=3\cdot 5\\ \\9=3\cdot 3`

So,

`LCM(15,9)=3\cdot 5\cdot 3=45`

This means that the length of the side of the smallest square area that can be covered by these tiles is 45 cm.

Practically, you can put 3 tiles in a row (to make 3 lenghts of 15 cm each that add up to 45 cm) and put such 5 rows (to make 5 lengths of 9 cm that add up to 45 cm).