The problem states that figure $V$ is a scaled drawing of figure $W$. We need to determine the value of $x$ for each case. In the first case, we are given two rectangles, $W$ and $V$. $W$ has dimensions 2 cm and $x$ cm. $V$ has dimensions 5 cm and 6 cm. We must find $x$.

1. Problem Description

The problem states that figure $V$ is a scaled drawing of figure $W$. We need to determine the value of $x$ for each case. In the first case, we are given two rectangles, $W$ and $V$. $W$ has dimensions 2 cm and $x$ cm. $V$ has dimensions 5 cm and 6 cm. We must find $x$.

2. Solution Steps

Since $V$ is a scaled drawing of $W$, the ratio of corresponding sides must be equal.

So, we have

$\frac{2}{5} = \frac{x}{6}$

Multiply both sides by 6:

$6 \cdot \frac{2}{5} = 6 \cdot \frac{x}{6}$

$\frac{12}{5} = x$

$x = 2.4$

3. Final Answer

The value of $x$ is 2.4 cm.