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500 feet x 1,000 feet / 6 inches with a ratio of 1:2000 on the number scale

a. 10,000
b. 100
c. 1,000
d. 200

1 Answer

6 votes

Final answer:

The question involves applying a unit scale to translate distances on a scale drawing into actual distances. In this case, the scale is 1:2000, which means that a drawing at this scale representing 500 feet would be 2.5 inches long option D is correct.

Step-by-step explanation:

The question is asking for the application of a unit scale to determine the actual length represented by a given distance in a scale drawing. In this particular case, the scale is 1:2000. By setting up a proportion between the scale measurement and the actual distance, one can derive the physical size depicted by sketches, plans, or maps. To represent a line that is 500 feet long on a 1:2000 scale, we would draw a line that is 2.5 inches (since 500 feet divided by 200 equals 2.5 inches).

For example, using a scale where 1 inch equals 10 feet, a line that measures 10 inches in the drawing would represent an actual length of 100 feet. Using this proportion, it becomes straightforward to calculate scale distances for various dimensions provided on drawings or maps.

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