Question

If model shows the width of a tile is 1/6 in. And the actual tile has a width of 2/9 ft. What is the ratio of a tile in the model to the area of an actual tile?

Answer 1

1/256

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