### Home > ACC6 > Chapter 4 Unit 4 > Lesson CC1: 4.2.4 > Problem4-83

4-83.

In parts (a) through (c) below, refer to the previous problem. You will find the length of the line segments in problem by substituting given values for the variables. For example, if $x$ is $3$ units in part (a) of problem , the line segment would be $3 + 1 + 3 = 7$ units long.

1. Find the length of the line segment in part (a) of problem using $x = 4\frac { 1 } { 2 }$.

Substitute $4\frac{1}{2}$ for $x$ in the expression you wrote for part (a) of problem 4-82.

$4\frac{1}{2}+1+4\frac{1}{2}=4+4+1+\left(\frac{1}{2}+\frac{1}{2}\right) = 10\text{ units}$

2. Find the length of the line segment in part (b) of problem using $m = 4$.

After substituting $4$ for $m$, the expression for the length of the line segment is $4 + 4 + 4 + 5$.

3. Find the length of the line segment in part (c) of problem using $y = 5.5$.

• Your new expression will look like $5.5 + 2 + 5.5 + 2$. Find the value of this expression to determine the length of the line segment.