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Question
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Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high. Her paper is 12 in. wide and 24 in. tall. She decides to use the scale 1 in. = 4 in. Is this a reasonable scale?
(2 points)
To determine if the scale is reasonable, we need to compare the dimensions of the painting to the dimensions of the paper using the scale given.
First, let's determine the dimensions of the scaled drawing.
Since the scale is 1 in. = 4 in., we can multiply the dimensions of the painting by 1/4 to find the dimensions of the scaled drawing.
Scaled width = 48 in. * (1/4) = 12 in.
Scaled height = 120 in. * (1/4) = 30 in.
Now let's compare the dimensions of the scaled drawing to the dimensions of the paper.
The width of the paper is 12 in., which matches the scaled width of the painting. This means that the painting can be accurately represented on the paper in terms of width.
The height of the paper is 24 in., which is less than the scaled height of the painting. This means that the height of the painting would be taller than the height of the paper in the scaled drawing.
Based on this analysis, we can see that the scale is not reasonable because the height of the painting would not fit within the height of the paper in the scaled drawing.