Question
Cara drew a scale drawing of an apartment. A rug by the door, which is 3 feet wide in real life, is 6 inches wide in the drawing. What is the drawing's scale factor?
Simplify your answer and write it as a fraction.
Simplify your answer and write it as a fraction.
Answers
GPT-4o mini
To find the scale factor of Cara's drawing, we need to compare the dimensions in the drawing to the actual dimensions of the rug.
1. **Convert the actual width of the rug to inches**:
\[
3 \text{ feet} = 3 \times 12 \text{ inches} = 36 \text{ inches}
\]
2. **Determine the width of the rug in the drawing**:
The width is given as 6 inches.
3. **Calculate the scale factor**:
The scale factor is the ratio of the size in the drawing to the actual size:
\[
\text{Scale Factor} = \frac{\text{Width in drawing}}{\text{Actual width}} = \frac{6 \text{ inches}}{36 \text{ inches}}
\]
4. **Simplify the fraction**:
\[
\frac{6}{36} = \frac{1}{6}
\]
Thus, the scale factor of the drawing is \(\boxed{\frac{1}{6}}\).
1. **Convert the actual width of the rug to inches**:
\[
3 \text{ feet} = 3 \times 12 \text{ inches} = 36 \text{ inches}
\]
2. **Determine the width of the rug in the drawing**:
The width is given as 6 inches.
3. **Calculate the scale factor**:
The scale factor is the ratio of the size in the drawing to the actual size:
\[
\text{Scale Factor} = \frac{\text{Width in drawing}}{\text{Actual width}} = \frac{6 \text{ inches}}{36 \text{ inches}}
\]
4. **Simplify the fraction**:
\[
\frac{6}{36} = \frac{1}{6}
\]
Thus, the scale factor of the drawing is \(\boxed{\frac{1}{6}}\).