Question

what is the scale factor the smaller rectangle to the larger rectangle?
a 6 units
b 18 units
c 2 units
d 48 units

Explanation:

Step1: Identify corresponding sides

Small rectangle: width $w_1=4$, height $h_1=3$; Large rectangle: width $w_2=8$, height $h_2=6$

Step2: Calculate scale factor

Divide large side by small side: $\frac{w_2}{w_1}=\frac{8}{4}=2$, or $\frac{h_2}{h_1}=\frac{6}{3}=2$

Answer:

C. 2 units