Answer:
Step-by-step explanation:
To find the length of the model, you can use the scale factor between the actual greenhouse and the model.
The scale factor is the ratio of the dimensions of the actual object to the dimensions of the model.
\[ \text{Scale factor} = \frac{\text{Length of actual greenhouse}}{\text{Length of model greenhouse}} \]
In this case:
\[ \text{Scale factor} = \frac{8 \, \text{m}}{12 \, \text{cm}} \]
Convert meters to centimeters to have consistent units:
\[ \text{Scale factor} = \frac{800 \, \text{cm}}{12 \, \text{cm}} \]
Now, divide to find the scale factor:
\[ \text{Scale factor} = \frac{800}{12} \approx 66.67 \]
Now, apply the scale factor to find the length of the model:
\[ \text{Length of model} = \text{Width of model} \times \text{Scale factor} \]
\[ \text{Length of model} = 12 \, \text{cm} \times 66.67 \]
\[ \text{Length of model} \approx 800 \, \text{cm} \]
So, Annie's model of the greenhouse is approximately \( 800 \, \text{cm} \) long.
