Answer :
[tex]5(\frac{1}{2}x+2)[/tex][tex]4(x-2)[/tex]
Start by finding the value of x by making both expressions equal
[tex]5\cdot(\frac{1}{2}x+2)=4(x-2)[/tex]distribut 5 and 4 on their corresponding sides
[tex]\begin{gathered} \frac{5}{2}x+10=4x-8 \\ \end{gathered}[/tex]let all xs' to one side and all constants to the other
[tex]\begin{gathered} \frac{5}{2}x-4x=-8-10 \\ \frac{-3}{2}x=-18 \end{gathered}[/tex]solve x by dividing by -3 and multiplying by 2
[tex]\begin{gathered} x=-18\cdot(\frac{2}{-3}) \\ x=12 \end{gathered}[/tex]after finding the value of x into either one of the equations
[tex]4(x-2)[/tex][tex]\begin{gathered} 4\cdot(12-2) \\ 4\cdot10 \\ 40 \end{gathered}[/tex]the perimeter of each figure is 40 inches.