https://file.aiquickdraw.com/mathbot/file/17259302086085vxz7fec.jpg

The question in the image asks:

**Lucy measured a house and its lot and made a scale drawing. The scale she used was 4 inches : 5 feet. If the actual length of the house's driveway is 35 feet, how long is the driveway in the drawing (in inches)?**

### Solution:

The scale given is 4 inches : 5 feet. This means 4 inches on the drawing corresponds to 5 feet in real life. To find the length of the driveway in the drawing, we can set up a proportion:

\[
\frac{4 \text{ inches}}{5 \text{ feet}} = \frac{x \text{ inches}}{35 \text{ feet}}
\]

Now, solve for \(x\) (the length of the driveway in the drawing):

1. Cross-multiply to eliminate the fractions:

\[
4 \times 35 = 5 \times x
\]

2. Simplify:

\[
140 = 5x
\]

3. Divide both sides by 5:

\[
x = \frac{140}{5} = 28 \text{ inches}
\]

### Answer: 
The driveway in the drawing is **28 inches** long.

Let me know if you want more details, or if you have any questions! Here are some related questions to explore:

1. What would the length be if the scale was 3 inches : 5 feet?
2. How would you convert the scale if it was given in centimeters instead of inches?
3. If Lucy had used a scale of 6 inches : 10 feet, how would that affect the driveway length in the drawing?
4. How would you solve for an actual length if you were only given the drawing measurement?
5. How do you calculate the area of the driveway in both the real world and the drawing using the given scale?

**Tip:** Always cross-multiply proportions when solving for unknown values in scale drawings!

Lucy measured a house and its lot and made a scale drawing. The scale she used was 4 inches : 5 feet. If the actual length of the house's driveway is 35 feet, how long is the driveway in the drawing?

Learn how to solve a scale drawing problem using proportions. In this example, Lucy creates a scale drawing of a house and its lot with a scale of 4 inches to 5 feet. If the actual driveway is 35 feet long, find how long it is in the drawing using a proportion setup.

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