Question

Tim measured a house and made a scale drawing. In real life, the hall closet is 6 feet long. It is 10 inches long in the drawing. What is the scale of the drawing?
5 inches :
feet

Answer 1

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.

1. We know that there are 12 inches in a foot. Therefore, the real-life length of the hall closet in inches is:
\[
6 \text{ feet} \times 12 \text{ inches/foot} = 72 \text{ inches}
\]

2. 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:
\[
5 \text{ inches} : 3 \text{ feet}
\]