Question

PLS HELP!!! Use the image above of the rectangles. What is the scale factor

Answer 1

Scale factor to transform rectangle A into rectangle B is
`(1)/(3)`.

Step-by-step explanation:

If both rectangles are similar, then scale factor for width (
`r_(w)`) and height (
`r_(h)`), no unit, must be the same. That is:

`r_(w) = r_(h)` (1)

`(w_(A))/(w_(B)) = (h_(A))/(h_(B))`

Where:

`w_(A), w_(B)` - Widths of rectangles A and B, no unit.

`h_(A), h_(B)` - Heights of rectangles A and B, no unit.

Let suppose that width is parallel to x-axis, whereas height is to y-axis. If we know that
`w_(A) = 3`,
`w_(B) = 1`,
`h_(A) = 6` and
`h_(B) = 2`, then we have the following result:

`(3)/(1) = (6)/(2)`

`3 = 3`

Which algraically consistent and hence we conclude that scale factor to transform rectangle A into rectangle B is
`(1)/(3)`.