Question

2-117. solve for the missing lengths in the sets of similar figures below. a. abcd ~ jklm

Explanation:

Step1: Set up proportion

For similar rectangles, the ratios of corresponding sides are equal. So, $\frac{AD}{JM}=\frac{AB}{JK}$. Substituting the given values, we have $\frac{6}{10}=\frac{12}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $6x = 12\times10$.

Step3: Solve for x

$6x=120$, then $x=\frac{120}{6}=20$ mm.

Answer:

$x = 20$ mm