Chapter 6.4, Problem 14PPS

To determine

The length of WX.

Answer to Problem 14PPS

  $WX=5$

Explanation of Solution

Given:

WXYZ is a rectangle.

  $ZY=2x+3\text{, WX = x + 4 }$

Calculation:

The opposite sides of parallelogram are congruent.

So,

  $\overline{ZY}\cong \overline{WX}$

Hence,

  $\begin{array}{l}ZY=WX\\ 2x+3=x+4\\ 2x-x=4-3\\ x=1\end{array}$

The length of WX will be:

  $\begin{array}{l}WX=x+4\\ WX=1+4\\ WX=5\end{array}$