Question

1. structure rectangle a is similar to rectangle b. rectangle a has side lengths of 6 and 12. rectangle b has a side length of 18. what are the possible values for the length of the other side of rectangle b? select all that apply. a 6 b 9 c 24 d 36

Explanation:

Step1: Set up proportion (18 matches 12)

Let $x$ = unknown side. $\frac{12}{18}=\frac{6}{x}$

Step2: Solve for $x$

Cross multiply: $12x=18\times6$ → $12x=108$ → $x=\frac{108}{12}=9$

Step3: Set up proportion (18 matches 6)

Let $y$ = unknown side. $\frac{6}{18}=\frac{12}{y}$

Step4: Solve for $y$

Cross multiply: $6y=18\times12$ → $6y=216$ → $y=\frac{216}{6}=36$

Answer:

B. 9, D. 36