To solve this problem, we need to understand the relationship between the measurements on the scale drawing and the actual lengths they represent.
1. Determine the scale:
- We know that [tex]\(\frac{1}{4}\)[/tex] inch on the drawing represents 1 foot in real life.
2. Identify the desired real-life length to represent:
- We need to find out the length on the drawing that would represent 4 feet in real life.
3. Calculate the drawing length:
- Since [tex]\(\frac{1}{4}\)[/tex] inch represents 1 foot, for every foot of real length, the corresponding drawing length is [tex]\(\frac{1}{4}\)[/tex] inch.
- Consequently, to find the drawing length for 4 feet, we multiply 4 feet by [tex]\(\frac{1}{4}\)[/tex] inch per foot:
[tex]\[
\text{Drawing length} = 4\ \text{feet} \times \frac{1}{4}\ \text{inch per foot}
\][/tex]
[tex]\[
\text{Drawing length} = 4 \times \frac{1}{4}
\][/tex]
[tex]\[
\text{Drawing length} = 1\ \text{inch}
\][/tex]
Therefore, the length on the scale drawing that represents 4 feet is 1 inch.
Thus, the correct answer is option:
a) 1 inch
