Question

the rectangles shown below are similar. determine the length of the side labeled x. 10 15 x 24 15

Explanation:

Step1: Set up proportion for similar rectangles

Since the rectangles are similar, the ratios of corresponding sides are equal. So, $\frac{10}{15} = \frac{x}{24}$.

Step2: Solve for \( x \)

Cross - multiply: \( 15x = 10\times24 \).
Simplify the right - hand side: \( 15x = 240 \).
Divide both sides by 15: \( x=\frac{240}{15}=16 \).

Answer:

\( x = 16 \)