Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer. 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)
Yes, this is a reasonable scale. To determine if a scale is reasonable, we compare the dimensions of the object to the dimensions of the drawing.
In this case, the dimensions of the painting are 48 in. by 120 in., and the dimensions of the paper are 12 in. by 24 in. Using the scale 1 in. = 4 in., we can divide the dimensions of the painting by the scale to find the dimensions of the drawing.
For the width, 48 in. divided by 4 in. = 12 in., which matches the width of the paper.
For the height, 120 in. divided by 4 in. = 30 in., which is also less than the height of the paper.
Since the dimensions of the drawing fit within the dimensions of the paper, the scale is reasonable.