Question

The scale factor from figure A to figure B is 4Solve for x

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to solve for x

STEP 1: Draw the given figures

STEP 2: Compare the two figures A and B

$\begin{gathered} \text{Scale factor from figure A to figure B is 4 means that A=4B} \\ \text{This implies that each side in B is 1/4 of the equivalent side of A} \end{gathered}$

STEP 3: Calculate the value of x

$\begin{gathered} By\text{ ratio of the sides} \\ \frac{24}{12}=\frac{x}{3} \\ By\text{ cross multiplication,} \\ 12\times x=24\times3 \\ 12x=72 \\ \text{Divide both sides by 12} \\ \frac{12x}{12}=\frac{72}{12} \\ x=6 \end{gathered}$

Hence, the value of x in figure B is 6