Question

Seventh grade > * 1.9 Scale drawings: word problems 84H

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?

Answer 1

112 m

Explanation:

Scale drawing :

1 centimeter : 8 meters

This can be interpreted to mean that ;

1 centimeter in the drawing corresponds to 8 meters of the actual length of the field.

Hence, if soccer field has a drawing length of 14 centimeters

The actual length of the field will be, x :

1 = 8

14 = x

Cross multiply :

1 * x = 8 * 14

x = 112

Hence, actual. Length of the field = 112 meters