Question

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

Enter your answer as a decimal in the box

Answer 1

The scale factor for the resultant rectangle is
`(2)/(5)` units.

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}=(3)/(7.5)=(2)/(5)`

Hence, the scale factor for the resultant rectangle is
`(2)/(5)` units.