Anew community wellness complex is being built in erie. the perimeter of the rectangular playing field is 492 yards. the length of the field is 4 yards less than quadruple the width. what are the dimensions of the playing field?

Perimeter is 2 times the length plus 2 times withe width.

Let X = the width, then the length would be 4x-4

Now you have :

2(x) + 2(4x-4) = 492

Simplify:

2x + 8x - 8 = 492

Combine like terms:

10x - 8 = 492

Add 8 to both sides:

10x = 500

Divide both sides by 10:

x = 500 / 10

x = 50

The width is 50 yards.

The length = 4(50) - 4 = 200-4 = 196 yards.

72 is the answer to this problem