In a scale drawing, if an item is represented as 4" and the scale is 1/8" = 1', how long is the actual item?

• A. 24'
• B. 28'
• C. 32'
• D. 36'

Answer: (C)

To determine the actual size of an item represented as 4 inches on a scale drawing with a scale of 1/8 inch equals 1 foot, it is essential to first understand the relationship between the scale measurement and the real-world dimensions.

In this scenario, the scale indicates that for every 1/8 inch on the drawing, the corresponding actual length is 1 foot. To convert the drawing measurement of 4 inches to feet, you can first express the drawing measurement in terms of the scale:

1. Determine how many 1/8 inch segments fit into 4 inches. Since 4 inches can be expressed as a fraction of 1/8 inch, you can calculate this as follows:

[

4 \text{ inches} \div \left(\frac{1}{8}\right) \text{ inches} = 4 \times 8 = 32

]

This means there are 32 segments of 1/8 inch in 4 inches.

2. Since each segment of 1/8 inch corresponds to 1 foot in actual size, you multiply the number of segments (32) by the actual length of 1 segment (1 foot):

\