[tex]\begin{gathered} \Delta XYZ\text{ is an equilateral triangle. Therefore,} \\ \bar{XY}=\bar{YZ}=\bar{XZ}=11 \end{gathered}[/tex]
[tex]\begin{gathered} \Delta WXZ\text{ is an isosceles triangle , the base is }15\text{ and the two other sides are equal. Thus,} \\ \bar{WZ}=\bar{XZ}=11 \\ \end{gathered}[/tex]
[tex]\begin{gathered} PerimeterWXYZ=\bar{WX}+\bar{XY}+\bar{YZ}+\bar{WZ} \\ PerimeterWXYZ=11+11+11+11=44 \end{gathered}[/tex]
Answer:
Perimeter WXYZ = 44 units
