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 can first calculate the dimensions of the painting on the scale drawing.
Using the scale of 1 in = 4 in, we can find the width and height of the painting on the scale drawing:
Width on scale drawing = 48 in / 4 = 12 in
Height on scale drawing = 120 in / 4 = 30 in
Next, we can compare these dimensions to the dimensions of Sarah's paper:
- The width of the scale drawing is 12 in, which fits within the 12 in width of Sarah's paper.
- The height of the scale drawing is 30 in, which fits within the 24 in height of Sarah's paper.
Therefore, the scale of 1 in = 4 in is reasonable for Sarah to use for her scale drawing of the painting.