Question

if the scale factor of figure a to figure b is 3:8, find the value of x.

Explanation:

Step1: Set up the proportion

Since the scale factor of Figure A to Figure B is \(3:8\), we can set up the proportion \(\frac{x}{24}=\frac{3}{8}\).

Step2: Solve the proportion for \(x\)

Cross - multiply: \(8x = 3\times24\).
Simplify the right - hand side: \(8x=72\).
Divide both sides by 8: \(x=\frac{72}{8}\).

Answer:

\(9\)