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 1in .=4 in. Is this a reasonable scale?
To determine if the scale is reasonable, we can compare the dimensions of the painting and the dimensions of the paper based on the scale.
The original painting is 48 inches wide and 120 inches high.
If we use the scale 1 inch = 4 inches, the scaled dimensions of the painting on the paper would be:
48 inches wide * 4 = 192 inches wide
120 inches high * 4 = 480 inches high
However, the paper is only 12 inches wide and 24 inches tall.
Based on these calculations, we can see that the scale of 1 inch = 4 inches is not reasonable. The scaled dimensions of the painting would not fit within the dimensions of the paper.