In a construction plan, a distance of 4-1/4 inches at a scale of 1/2" equals 1 foot translates to what actual project distance?

To convert the measurement from the plan scale to the actual project distance, it's essential to understand how scales work. A scale of 1/2 inch equals 1 foot means that for every 1/2 inch on the drawing, the actual distance is 1 foot.

Given that the measurement in the plan is 4-1/4 inches, you first need to find out how many 1/2 inch segments are in 4-1/4 inches. The calculation involves converting 4-1/4 inches into a fraction. Breaking it down, 4-1/4 inches is equivalent to 4.25 inches.

Next, to find the number of 1/2 inch segments, divide 4.25 inches by 0.5 inches:

4.25 ÷ 0.5 = 8.5.

This result indicates there are 8.5 segments of 1/2 inch within 4-1/4 inches. Since each of these segments corresponds to an actual distance of 1 foot, you now multiply the number of segments (8.5) by the length that each segment represents (1 foot):

8.5 x 1 foot = 8.5 feet.

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