Answer:
1/256
Step-by-step explanation:
The ratio of linear dimensions of the tile is ...
model : tile = (1/6 in) : (2/9 ft)·(12 in/ft) = 1/6 : 24/9
= (1/6)(9/24) = 9/144 = 1/16
Then the ratio of area dimensions is ...
model area : tile area = (model : tile)² = (1/16)²
model area : tile area = 1/256
