To determine the scale of the drawing, we first need to convert the real-life measurement of the hall closet from feet to inches, since the drawing measurement is in inches.
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We know that there are 12 inches in a foot. Therefore, the real-life length of the hall closet in inches is: \[ 6 \text{ feet} \times 12 \text{ inches/foot} = 72 \text{ inches} \]
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The length of the hall closet in the drawing is given as 10 inches.
Now we can express the scale of the drawing as a ratio:
- Real life = 72 inches
- Drawing = 10 inches
The scale can be written as: \[ \text{Scale} = \frac{\text{Real Life}}{\text{Drawing}} = \frac{72 \text{ inches}}{10 \text{ inches}} = \frac{72}{10} = \frac{36}{5} \]
This means the scale can be shown as: \[ \text{Scale} = 36 \text{ inches} : 5 \text{ inches} \]
To convert this to feet, we know that 36 inches is equal to 3 feet (since 36 divided by 12 equals 3). Therefore, we can express the scale in terms of feet: \[ 3 \text{ feet} : \frac{5}{12} \text{ feet} \]
Thus the scale of the drawing is: \[ 5 \text{ inches} : 3 \text{ feet} \]
So the answer to the desired format is: \[ 5 \text{ inches} : 3 \text{ feet} \]
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