What is the actual length of a line that measures 2' 1/4" on a drawing with a scale of 1/8"=1?

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To determine the actual length of a line that measures 2 feet 1/4 inch on a drawing with a scale of 1/8 inch = 1 foot, we first need to convert the drawing measurement into inches and then calculate how this relates to the scale.

The measurement on the drawing is 2 feet 1/4 inch. First, convert everything to inches:

  • 2 feet = 2 x 12 inches = 24 inches

  • 1/4 inch remains as is.

Now, combine these to get the total measurement on the drawing:

24 inches + 0.25 inches = 24.25 inches.

Next, we consider the scale of the drawing, which tells us that 1/8 inch on the drawing corresponds to 1 foot in reality. To find out how many 1/8 inch increments fit into 24.25 inches:

  1. Convert 24.25 inches to eighths:

24.25 inches = 24.25 / (1/8) = 24.25 x 8 = 194 (there are 194 eighths in 24.25).

Since each 1/8 inch on the drawing equals 1 foot in reality,

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