If a U.S. scaled drawing of 1/8 inch = 1 foot measures 4.25 inches, what is the actual length?

If a U.S. scaled drawing of 1/8 inch = 1 foot measures 4.25 inches, what is the actual length?

• A. 66 feet
• B. 38 feet
• C. 17 feet
• D. 34 feet

Answer: (D)

To find the actual length represented by a scaled drawing where 1/8 inch equals 1 foot and the measurement is 4.25 inches, first convert the scaled drawing measurement into feet using the scale provided. The scale of 1/8 inch to 1 foot indicates that for every 1/8 inch of the drawing, the actual length is 1 foot. To determine how many 1/8 inch segments fit into 4.25 inches, divide 4.25 by 1/8. This is performed by converting the division into a multiplication by the reciprocal: 4.25 ÷ (1/8) = 4.25 × 8 = 34. This calculation shows that there are 34 segments of 1/8 inch in 4.25 inches. Since each segment corresponds to 1 foot, the actual length represented by the measurement is 34 feet. The correct choice reflects this simple principle of scaling in relation to the specified measurements.

To find the actual length represented by a scaled drawing where 1/8 inch equals 1 foot and the measurement is 4.25 inches, first convert the scaled drawing measurement into feet using the scale provided.

The scale of 1/8 inch to 1 foot indicates that for every 1/8 inch of the drawing, the actual length is 1 foot. To determine how many 1/8 inch segments fit into 4.25 inches, divide 4.25 by 1/8. This is performed by converting the division into a multiplication by the reciprocal:

4.25 ÷ (1/8) = 4.25 × 8 = 34.

This calculation shows that there are 34 segments of 1/8 inch in 4.25 inches. Since each segment corresponds to 1 foot, the actual length represented by the measurement is 34 feet.

The correct choice reflects this simple principle of scaling in relation to the specified measurements.