Anew community wellness complex is being built in madison. the perimeter of the rectangular playing field is 446 yards. the length of the field is 7 yards less than quadruple the width. what are the dimensions of the playing field?

The length of the rectangular playing field is 177 yards and the width is 46 yards

Step-by-step explanation:

Let

x > the length of the rectangular playing field

x > the width of the rectangular playing field

we know that

The perimeter of the  rectangular playing field is

P=2(x+y)

P=446 yd

so

446=2(x+y) > equation A

x=4y-7 > equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

446=2(4y-7+y)

223=5y-7

5y=223+7

5y=230

y=46

Find the value of x

x=4(46)-7

x=177

therefore

The length of the rectangular playing field is 177 yards and the width is 46 yards

only 10/60 isn't equivalent

hope this : )