The perimeter of a fence is 140 feet. The sum of three times the length and two times the width is 180 feet. What are the length and width of the fence?
Accepted Solution
A:
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:Letx-----> the length of the fencey----> the width of the fencewe know thatThe 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 BUsing a graphing tool----> solve the system of equationsRemember that the intersection point both graphs is the solution of the system of equationsThe solution is the point [tex](40,30)[/tex]see the attached figurethereforeThe length of the fence is [tex]40\ ft[/tex]The width of the fence is [tex]30\ ft[/tex]