To determine a suitable scale factor for a scale drawing of a basketball court that is 94 feet long, we need to find a scale that would represent that distance in a manageable size.
Let's analyze each of the options:
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50:1 (ratio of 50 to 1): If we divide 94 feet by 50, we get 1.88 feet, which is a reasonable size for a drawing.
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1:4 (ratio of 1 to 4): Dividing 94 feet by 4 gives us 23.5 feet, which is also a manageable size.
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500:1 (ratio of 500 to 1): If we divide 94 feet by 500, we get 0.188 feet (about 2.26 inches), which would be very small for a scale drawing.
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1:400: Dividing 94 feet by 400 results in 0.235 feet (about 2.82 inches), which is also quite small.
The most suitable scale factors for a scale drawing would be 50:1 or 1:4, as they provide a reasonable size for practical representation.
However, since the question asks for which scale factor might be used for the drawing and does not provide specific criteria, either 50:1 or 1:4 could work.
In a classroom or testing setting, typically a ratio of 1:4 might be preferred because it results in a significantly larger drawing compared to 50:1, making visual representation easier.
So, depending on context, you might choose 1:4 or 50:1, but if one needs to be selected based on a balance between practicality and manageability:
1:4 (ratio of 1 to 4) might be the most common choice for a scale drawing of the basketball court.
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