To find the ratio of the length of Jillian's lawn to the length of her model, we need to express both measurements in the same unit. Let's convert the actual length of the lawn from feet to inches since the model's length is given in inches.
1 foot is equal to 12 inches, so: \[ 6 \text{ ft} = 6 \times 12 \text{ in} = 72 \text{ in} \]
Now we can set up the ratio of the length of Jillian’s lawn to the length of her model: \[ \text{Length of lawn} : \text{Length of model} = 72 \text{ in} : 9 \text{ in} \]
To simplify this ratio, we can divide both sides by 9: \[ \frac{72 \text{ in}}{9} : \frac{9 \text{ in}}{9} = 8 : 1 \]
So, the ratio of the length of Jillian’s lawn to the length of her model is: \[ 8 : 1 \]
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