Answer:
It depends.
24 1x1 tiles, 8 2x2 tiles, and 32 total tiles.
Step-by-step explanation:
Tyler's living room is 12 feet by 16 feet.
That means that he can place 12 1x1 tiles along 2 sides, and 12 1x1 tiles along the other (since there are 4 tiles shared by 2 sides).
This would create an area of [tex]12 - 2[/tex] feet by [tex]16 - 2[/tex] feet, or [tex]10[/tex] feet by [tex]14[/tex] feet.
Since Tyler is using 2x2 tiles for the inner area, he would be able to place [tex]\frac{10}{2}=5[/tex] tiles on two sides and [tex]\frac{14}{2}-4=7-4=3[/tex] tiles along the other (since, once again, 4 tiles will be shared between 2 sides).
Adding them up, we get [tex]5+3=8[/tex] of the 2x2 tiles and [tex]12+12=24[/tex] of the 1x1 tiles.
If you're adding ALL of the tiles, then that would be a grand total of [tex]8+24=32[/tex] tiles.