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 $$ \frac{2}{3} $$ in. and width $$ \frac{1}{2} $$ in. The actual tiles have length $$ \frac{1}{2} \mathrm{ft} $$ and width $$ \frac{3}{8} \mathrm{ft} $$. Wh s 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.

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To find the ratios, convert all measurements to inches. The ratio of model tile length to actual tile length is $$ \frac{1}{9} $$. The ratio of model tile area to actual tile area is $$ \frac{1}{81} $$. You can find these ratios by direct division or by calculating the areas and then dividing.

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