Question

What scale factor was applied to the first rectangle to get the resulting image?

Answer 1

Answer:

The scale factor for the resultant rectangle is$\frac{2}{5}$ units.

Step-by-step explanation:

Given two rectangles with sides 3 units and 7.5 units.

We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.

Scale factor is defined as the ratio  of corresponding side of given figure to the corresponding side of resulting figure.

That is $\text{Scale factor}=\frac{\text{length of side of given figure}}{\text{length of side of resulting figure}}$

Here, $\text{Scale factor}=\frac{\text{length of side of given rectangle }}{\text{length of side of resulting rectangle}}$

$\text{Scale factor}=\frac{3}{7.5}=\frac{2}{5}$

Hence, the scale factor for the resultant rectangle is$\frac{2}{5}$ units.