Question

the figures are similar. find the missing side length. 18 16 24 15

Explanation:

Step1: Set up proportion

Since the figures are similar, the ratios of corresponding sides are equal. Let the missing side length be $x$. We have the proportion $\frac{18}{24}=\frac{16}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $18x = 16\times24$.

Step3: Solve for $x$

First, calculate $16\times24 = 384$. Then $x=\frac{384}{18}=\frac{64}{3}= 21\frac{1}{3}$.

Answer:

$21\frac{1}{3}$