Question

30 Points

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?

Answer 1

The scale factor is determined by comparing the size of the drawing to the size of the actual object. In this case, Sarah is making a scale drawing of a painting that is 48 inches wide by 120 inches high. Her paper is 12 inches wide and 24 inches tall. She decides to use the scale 1 inch = 4 inches. The scale is reasonable because the dimensions of the paper accurately represent the proportions of the painting.

Step-by-step explanation:

The scale factor is determined by comparing the size of the drawing to the size of the actual object. In this case, Sarah is making a scale drawing of a painting that is 48 inches wide by 120 inches high. Her paper is 12 inches wide and 24 inches tall. She decides to use the scale 1 inch = 4 inches. To determine if this is a reasonable scale, we can compare the dimensions of the paper to the dimensions of the painting.

Using the scale 1 inch = 4 inches, the width of the paper would represent a quarter of the width of the painting (12 inches / 4 inches = 3). Similarly, the height of the paper would represent a quarter of the height of the painting (24 inches / 4 inches = 6). Therefore, the scale is reasonable because the dimensions of the paper accurately represent the proportions of the painting.

Answer 2

Step-by-step explanation:

1:4=.25 or 25%

so 12/47=.25 or 25%

24/120=.2 or 20%

that ratio does not match the height ratio