In a drawing with a scale of 1/4 inch = 1 foot, what does a line measuring 2-1/2 inches represent?

10 feet

In a drawing with a scale of 1/4 inch = 1 foot, each quarter inch on the drawing corresponds to one foot in actual measurements. To determine how many feet are represented by a line measuring 2-1/2 inches, you first need to convert the inches on the drawing into the appropriate feet.

To do this, divide the total inches measured (2-1/2 inches) by the scale (1/4 inch). Converting 2-1/2 inches into an improper fraction gives you 5/2 inches. Now, calculate how many quarter inches are in 2-1/2 inches:

1. There are 10 quarter inches in 2-1/2 inches, since:

\[

\text{(2-1/2 inches)} \div \text{(1/4 inch per foot)} = 2.5 \text{ inches} \times 4 = 10 \text{ feet}

\]

Therefore, the measurement of 2-1/2 inches on this drawing represents 10 feet in reality.

Every part of the calculation aligns with the scale provided, thereby ensuring that your understanding of converting drawing measurements to actual dimensions is reflected accurately

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