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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?
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.
First, we calculate the dimensions of the painting on the scale drawing:
- Width: 48 in. / 4 in. = 12 in.
- Height: 120 in. / 4 in. = 30 in.
So, on the scale drawing, the painting would be 12 in. wide and 30 in. tall.
Next, we compare the dimensions of the scale drawing to the dimensions of Sarah's paper:
- Paper width: 12 in.
- Paper height: 24 in.
Since the painting on the scale drawing would fit comfortably within the dimensions of the paper, the scale of 1 in. = 4 in. is reasonable for Sarah to use for her drawing.