A new Community Wellness ComplexCommunity Wellness Complex is being built in Pagosa SpringsPagosa Springs. The perimeter of the rectangular playing field is 444444 yards. The length of the field is 33 yards less than quadruplequadruple the width. What are the dimensions of the playing field?

Width = 44451 yards

Length = 177771 yards

Explanation:

We defined the variables thus:

x : playing field's width

y : playing field's length

The perimeter is 444444, then:

2x+2y = 444444

If the length of the field is 33 yards less than quadruple the width

y = 4x-33

We have an equation system that we can resolve by substitution.

2x+2 (4x-33) = 444444

2x + 8x - 66 = 444444

10x = 444510

x = 44451 yards

and how y = 4x-33, then

y = 4 (44451) - 33

y = 177771 yards