Nicole drew a scale drawing of a city park. The soccer field is 59 centimeters long in the drawing. The actual field is 118 meters long. What scale did Nicole use for the drawings? *
10 points
To find the scale used by Nicole for the drawing, we need to compare the length of the soccer field in the drawing to its actual length.
First, we need to convert the lengths to the same unit. The length of the soccer field in the drawing is given in centimeters, while the actual length is given in meters. Since there are 100 centimeters in a meter, we can convert the actual length from meters to centimeters:
118 meters = 118 * 100 = 11,800 centimeters
Now that we have both lengths in the same unit (centimeters), we can find the scale. The scale is the ratio between the length in the drawing and the actual length. In this case, it is the ratio of the length in the drawing to the actual length:
Scale = Length in drawing / Actual length
Substituting the known values:
Scale = 59 centimeters / 11,800 centimeters
Now we can simplify the ratio:
Scale = 1 / 200
Therefore, Nicole used a scale of 1:200 for the drawings. This means that every centimeter in the drawing represents 200 centimeters in the actual park.
Scale = 118m/59cm = ----m/cm.
scale:
59 cm : 118 metres
= 59 cm : 11800 cm
= 59 : 11800
= 1 : 200