Lauren made a scale drawing of a city park. The scale she used was 1 centimeter : 8 meters. If the soccer field is 14 centimeters long in the drawing, how long is the actual field?

1 answer

To find the actual length of the soccer field, we can use the scale given in the drawing, which is 1 centimeter : 8 meters.

Lauren's soccer field measures 14 centimeters in the drawing. To convert this measurement into actual size using the scale, we can multiply the length in centimeters by the conversion factor (8 meters per centimeter):

\[ \text{Actual length (meters)} = \text{Length in drawing (centimeters)} \times \text{Conversion factor (meters per centimeter)} \]

Substituting in the values:

\[ \text{Actual length (meters)} = 14 , \text{cm} \times 8 , \text{m/cm} \]

Calculating this gives:

\[ \text{Actual length (meters)} = 112 , \text{meters} \]

Therefore, the actual length of the soccer field is 112 meters.