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