Carmen made a scale drawing of a house and its lot. The scale she used was 7 centimeters = 1 meter. What scale factor does the drawing use?
To find the scale factor, we need to determine the ratio between the measurements in the drawing and the actual measurements. In this case, the scale is given as 7 centimeters = 1 meter.
The scale factor represents how many times smaller the drawing is compared to the actual object. Since the drawing is smaller than the actual house and lot, the scale factor will be less than 1.
To calculate the scale factor, we can convert the 7 centimeters to meters. Since 1 meter is equal to 100 centimeters, we divide 7 centimeters by 100 to find the equivalent in meters:
7 centimeters / 100 = 0.07 meters
Now, we can determine the scale factor by dividing the length in the drawing by the actual length:
Scale factor = Drawing length / Actual length
In this case, the length in the drawing is 7 centimeters and the actual length is 1 meter (or 100 centimeters). So:
Scale factor = 7 centimeters / 100 centimeters = 0.07
Therefore, the scale factor of the drawing is 0.07 or 1:0.07. This means that the drawing is approximately 1/14th the size of the actual house and its lot.
scale: divide number of cm by 7, multiply by 100m, or 7 cm per 100cm
Scale 7:100