Answer:
48 feet
Step-by-step explanation:
So first find the amount of fence they would need in terms of x, which would be (x - 2) + (3x - 1) + (5x + 8) + (3x - 1) + (x - 2). Then, you know these add up to 106 so you get the equation:
[tex]x-2+3x-1+5x+8+3x-1+x-2 = 106[/tex]
Now, you just have to solve.
First, combine like terms
[tex]13x + 2 = 106[/tex]
Then, subtract 2 from both sides
[tex]13x = 104[/tex]
Next, divide both sides by 13.
[tex]x = 8[/tex]
The last step is to find the length of 5x + 8 by substituting x = 8 in
[tex]5*8+8=40+8=48[/tex]
