Question

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

Answer 1

Answer:

Scale factor to transform rectangle A into rectangle B is $\frac{1}{3}$.

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)

$\frac{w_{A}}{w_{B}} = \frac{h_{A}}{h_{B}}$

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:

$\frac{3}{1} = \frac{6}{2}$

$3 = 3$

Which algraically consistent and hence we conclude that scale factor to transform rectangle A into rectangle B is $\frac{1}{3}$.