To find the scale factor of the drawing, we compare the real-life size of the tent to its size in the drawing.
- Real-life width of the tent: 6 feet
- Drawing width of the tent: 10 inches
First, we need to convert the real-life width of the tent from feet to inches. Since 1 foot is equal to 12 inches:
\[ 6 \text{ feet} = 6 \times 12 = 72 \text{ inches} \]
Now we have:
- Real-life width in inches: 72 inches
- Drawing width: 10 inches
Next, we can find the scale factor by setting up the ratio of the drawing width to the real-life width:
\[ \text{Scale factor} = \frac{\text{Drawing width}}{\text{Real-life width}} = \frac{10 \text{ inches}}{72 \text{ inches}} \]
Next, we simplify this fraction:
\[ \frac{10}{72} = \frac{5}{36} \]
Now, we express the scale factor as a ratio using a colon:
\[ 5:36 \]
Therefore, the scale factor used in the drawing is:
\[ \boxed{5:36} \]
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