Answer:
The length of the yard is [tex]48\ ft[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The perimeter of the yard required to be fenced is equal to
[tex]P=(5x+8)+2(3x-1)+2(x-2)\\P=13x+2[/tex]
[tex]P=106\ ft[/tex]
so
[tex]106=13x+2[/tex]
solve for x
[tex]13x=106-2[/tex]
[tex]13x=104[/tex]
[tex]x=104/13=8\ ft[/tex]
Find the length of the yard
[tex]5x+8=5(8)+8=48\ ft[/tex]
