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Answer :
Final answer:
The scale of 1 inch = 4 inches is not reasonable for Sarah's drawing because the scaled height would exceed the height of her paper. The calculated scaled dimensions show the width fits, but the height does not, indicating a need for a different scale.
Explanation:
The painting measures 48 inches wide by 120 inches high, and her paper is 12 inches wide and 24 inches tall. To determine if the chosen scale is reasonable, we evaluate the ratio of the actual size to the proposed scaled size for both dimensions of the painting.
For the width, the actual painting is 48 inches wide. Using the scale 1 inch = 4 inches, the scaled width becomes 48 inches ÷ 4 = 12 inches.
For the height, the actual painting is 120 inches high. Using the same scale, the scaled height becomes 120 inches ÷ 4 = 30 inches.
However, Sarah's paper is only 24 inches tall, not 30 inches, making this scale impractical for the height of the painting. A more suitable scale would need to be chosen that allows both the width and the height of the painting to fit within the dimensions of Sarah's paper.
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Answer:
No. It is not a reasonable scale
Explanation:
The scale drawing must fit Sarah's paper. If it doesn't then the scale Sarah is using is not reasonable.
Now, we are told that the painting is 48 in x 120 in.
We are also told that on the scale 1in = 4 in.
Therefore, 48 in on the scale are
48 / 4 = 12 in
and 120 in on the scale are
120 / 4 = 30 in
This tells us that if Sarah chooses 1in = 4in as a scale, then her scaled painting would be 12 in x 30 in. Since Sarah's paper measures 12 in x 24 in ( which is smaller than 2 in x 30 in), her scaled painting would not fit into the paper.
Therefore, we conclude that Sarah's scale is not reasonable.
