Answer:
• x=10
,
• Given side lengths: 41 units
Explanation:
In a parallelogram, opposite side lengths are equal. Therefore, from the given figure:
[tex]5x-9=3x+11[/tex]
The equation is then solved for x:
[tex]\begin{gathered} 5x-9=3x+11 \\ \text{Subtract 3x from both sides} \\ 5x-3x-9=3x-3x+11 \\ 2x-9=11 \\ \text{Add 9 to both sides of the equation} \\ 2x-9+9=11+9 \\ 2x=20 \\ \text{ Divide both sides of the equation by 2} \\ \frac{2x}{2}=\frac{20}{2} \\ x=10 \end{gathered}[/tex]
The value of x is 10.
Next, the length of the given sides is found.
[tex]\begin{gathered} 3x+11=3(10)+11 \\ =30+11 \\ =41\text{ units} \end{gathered}[/tex]
The length of the given parallel sides is 41 units.
