Use the image above of the rectangles. What is the scale factor

Scale factor to transform rectangle A into rectangle B is .

Explanation:

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

(1)

Where:

- Widths of rectangles A and B, no unit.

- 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 , , and , then we have the following result:

Which algraically consistent and hence we conclude that scale factor to transform rectangle A into rectangle B is .