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 intall. She decides to use the scale 1 in.=4 in . Is this a reasonable scale?
To determine if this is a reasonable scale, we can calculate the dimensions of the drawing on Sarah's paper using the given scale.
First, we need to convert the actual dimensions of the painting to the dimensions on the scale drawing:
Width: 48 in. / 4 = 12 in.
Height: 120 in. / 4 = 30 in.
Next, we can check if these dimensions fit within the dimensions of Sarah's paper:
Width of the drawing: 12 in. < 12 in.
Height of the drawing: 30 in. < 24 in.
Since both the width and height of the drawing fit within the dimensions of Sarah's paper, the scale of 1 in. = 4 in. is reasonable for her scale drawing.