Missi designed a stained glass window and made a scale drawing using centimeters as the unit of measurement. She originally planned for the length of the window to be 44 in. but decided to change it to 48 in. If the length of the window in her scale drawing is 4 cm,what is the change of scale?
Scale Change = (48-44)in/4cm = 1in/cm.
To find the change of scale, we need to compare the original length of the window with the length in Missi's scale drawing.
Given information:
Original length of the window = 44 inches
New length of the window = 48 inches
Length in the scale drawing = 4 cm
First, we need to convert the original length of the window to centimeters since the scale drawing is measured in centimeters. We know that 1 inch is equal to 2.54 centimeters.
Original length of the window in cm = 44 in * 2.54 cm/in
Calculating this:
Original length of the window in cm = 111.76 cm (approximately)
The change of scale is the ratio of the new length in the scale drawing to the original length of the window in cm.
Change of scale = (Length in the scale drawing) / (Original length of the window in cm)
Change of scale = 4 cm / 111.76 cm
Calculating this:
Change of scale ≈ 0.0357 (rounded to four decimal places)
Therefore, the change of scale is approximately 0.0357.