What is the smallest length of a room in which an exact number of tables of length 12 meters and 9 meters can fit?

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Solution

The room should be filled completely with table. So the legth of room should be multiple of 12 and 9. Find the lcm of 12 and 9

factors of 12 are 2,2,3
factors of 9 are 3,3
rejecting a common 3
lcm =2×2×3×3=36 m
is the length of room
it can fit 3 12m tables and 4 9m tables

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What is the smallest length of a room in which an exact number of tables of length 12 meters and 9 meters can fit?

The room should be filled completely with table. So the legth of room should be multiple of 12 and 9. Find the lcm of 12 and 9 factors of 12 are 2,2,3 factors of 9 are 3,3 rejecting a common 3 lcm =2×2×3×3=36 m is the length of room it can fit 3 12m tables and 4 9m tables

The room should be filled completely with table. So the legth of room should be multiple of 12 and 9. Find the lcm of 12 and 9

factors of 12 are 2,2,3
factors of 9 are 3,3
rejecting a common 3
lcm =2×2×3×3=36 m
is the length of room
it can fit 3 12m tables and 4 9m tables