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 1/4 inches and width 1/6 inches. The actual tiles have length 1/6 ft and width 1/9 ft. 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? Use pencil and paper. Describe two ways to find each ratio. The ratio of the length of a tile in the model to the length of an actual tile is ?.​(Type the ratio as a simplified​ fraction.)