A new neighborhood activity complex is being built in Erie. The perimeter of the rectangular playing field is 448 yards. The length of the field is 6 yards less than quadruple the width. What are the dimensions of the playing field?

Length = 178 yards and Breadth = 46 yards

Step-by-step explanation:

The perimeter of the rectangular field is 448 yards

Let the width is b and the length of the field is (4b-6) yards

We need to find the dimensions of the playing field. We know that the perimeter of a rectangle is given by :

P = 2(l+b)

ATQ,

[2((4b-6)+b)] = 448

2(5b-6) = 448

5b-6 = 224

5b = 230

b = 46 yards

Length = (4b-6)

= 4(46) - 6

= 178 yards

Hence, the length and breadth of the field is 178 yards and 46 yards respectively.