Answer:
A.
[tex]24w=1,560[/tex]
B.
[tex]\text{Width}=w=65\ feet\\ \\\text{Length}=11w=715\ feet[/tex]
Step-by-step explanation:
Let w feet be the width of the field. A rectangular field is eleven times as long as it is wide, then the length of the field is 11w feet.
A. The perimeter of the field is
[tex]\text{Perimeter}=2(\text{Widht}+\text{Length})\\ \\\text{Perimeter}=2(w+11w)=2\cdot 12w=24w[/tex]
If the perimeter of the field is 1,560 feet, then
[tex]24w=1,560[/tex]
B. Solve this equation:
[tex]w=\dfrac{1,560}{24}\\ \\\text{Width}=w=65\ feet\\ \\\text{Length}=11w=715\ feet[/tex]