Question

what is the value of x if the similar rectangles below have a scale factor of 2:5? a 4 b 8 c 16 d 20

Explanation:

Step1: Set up proportion

For similar rectangles, the ratio of corresponding sides is equal to the scale - factor. So, $\frac{8}{x}=\frac{2}{5}$.

Step2: Cross - multiply

Cross - multiplying gives $2x = 8\times5$.

Step3: Solve for x

$2x=40$, then $x=\frac{40}{2}=20$.

Answer:

D. 20