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.
Using the scale 1 in. = 4 in., we can convert the dimensions of the painting into inches:
48 in. wide * 1 in./4 in. = 12 in. wide
120 in. high * 1 in./4 in. = 30 in. high
Comparing the converted dimensions to the dimensions of the paper:
12 in. wide <= 12 in. wide (paper)
30 in. high <= 24 in. high (paper)
Since both the width and height of the painting fit within the dimensions of the paper, the scale is reasonable.