Answer:
The length of the fence is [tex]40\ ft[/tex]
The width of the fence is [tex]30\ ft[/tex]
Step-by-step explanation:
Let
x-----> the length of the fence
y----> the width of the fence
we know that
The perimeter of the fence is equal to
[tex]P=2(x+y)[/tex]
[tex]P=140\ ft[/tex]
so
[tex]140=2(x+y)[/tex]
[tex]70=(x+y)[/tex] ------> equation A
[tex]3x+2y=180[/tex] -----> equation B
Using a graphing tool----> solve the system of equations
Remember that the intersection point both graphs is the solution of the system of equations
The solution is the point [tex](40,30)[/tex]
see the attached figure
therefore
The length of the fence is [tex]40\ ft[/tex]
The width of the fence is [tex]30\ ft[/tex]
