Question

Estimation  On a scale drawing of a​ fence, 1.875 inches represent 12 feet. Estimate the actual length of a second fence that is 4.8 inches in the drawing. Then find the exact length.
Question content area bottom
Part 1
The length of the second fence is about
▼
30
34
120
2
feet.

Answer 1

To find the actual length of the second fence, you need to establish the ratio of the scale drawing.

Given that:
- 1.875 inches represents 12 feet

First, find the scale factor:

1.875 inches = 12 feet

To find out how many feet each inch represents:
\[
\frac{12 \text{ feet}}{1.875 \text{ inches}} = \frac{12}{1.875} \approx 6.4 \text{ feet per inch}
\]

Now, to find the actual length of the second fence represented by 4.8 inches in the drawing:

Actual length in feet = 4.8 inches × 6.4 feet per inch
\[
= 4.8 \times 6.4 \approx 30.72 \text{ feet}
\]

Now to estimate it, you could round 30.72 to 30 feet.

So the answers are:
- The estimated length of the second fence is about **30 feet**.
- The exact length is approximately **30.72 feet**.