Final answer:
A scale factor represents the relationship between the dimensions of a scaled drawing or model and the dimensions of the actual object. To find the scale factor, divide the actual measurement by the corresponding measurement in the scaled drawing/model. To solve problems involving scale factors, multiply the measurements in the scale drawing/model by the scale factor to get the actual measurements.
Step-by-step explanation:
A scale factor represents the relationship between the dimensions of a scaled drawing or model and the dimensions of the actual object. The scale factor can be determined by comparing the measurements of the scale drawing/model to the measurements of the actual object. To find the scale factor, divide the actual measurement by the corresponding measurement in the scaled drawing/model.
For example, if a rectangle has a width of 2 inches in the scaled drawing and a width of 9 inches in the actual object, the scale factor would be 9/2 = 4.5.
To solve problems involving scale factors, you can use the scale factor to convert between the dimensions of the scale drawing/model and the actual dimensions. Multiply the measurements in the scale drawing/model by the scale factor to get the actual measurements.