Question

determining a scale factor
finding a scale factor and using it to find missing measures
consider the enlargement of the rectangle.
what is the scale factor?
syds work
scale factor = \\( \frac { \text { scale drawing dimension } } { \text { original dimension } } = \frac { 7.5 } { 3 } \\)

Explanation:

Step1: Recall the formula for scale factor

The formula for scale factor is \( \text{Scale factor}=\frac{\text{Scale drawing dimension}}{\text{Original dimension}} \). Here, the scale drawing dimension (new dimension after enlargement) of the side is \(7.5\) mm and the original dimension is \(3\) mm.

Step2: Calculate the scale factor

Substitute the values into the formula: \( \text{Scale factor}=\frac{7.5}{3}\).

$$ \frac{7.5}{3}=\frac{75}{30}=\frac{5}{2} = 2.5 $$

Answer:

\(2.5\)