In this question, it is given that
A new youth activity center is being built in oak valley. the perimeter of the rectangular playing field is 332 yards. the length of the field is 5 yards less than double the width.
Let the width is x yards . And length is 5 yards less than double the width, so length is (2x-5) yards .
Perimeter is the sum of all sides, that is
[tex] x+2x-5+x+2x-5 = 332 \\ 6x-10 = 332 \\ 6x = 342 \\ x = 57 yards [/tex]
So the width is 57 yards and length is
[tex] 2x-5 = 2*57-5 = 109 yards [/tex]