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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 Sarah's chosen scale is reasonable, we need to compare the dimensions of the painting to the dimensions of her paper using the scale.
First, let's find the dimensions of the painting on the scale drawing:
Width of the painting = 48 in. / 4 = 12 in.
Height of the painting = 120 in. / 4 = 30 in.
Next, compare the dimensions of the scale drawing to the dimensions of Sarah's paper:
Width of the paper: 12 in.
Height of the paper: 24 in.
Since the width of the scale drawing (12 in.) is equal to the width of Sarah's paper (12 in.), this means that the width of the painting will fit within the width of the paper on the scale drawing. However, the height of the scale drawing (30 in.) is larger than the height of Sarah's paper (24 in.), which means that the full height of the painting will not fit within the height of the paper on the scale drawing.
Therefore, based on the comparison of dimensions, Sarah's chosen scale of 1 in. = 4 in. is not reasonable for fitting the full height of the painting on her paper.