An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has length 1/2 in. and width 1/ 6in. The actual tiles have length 2/3 ft and width 2/ 9ft. What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile?