Centennial park is a rectangular playing field width of the field is 12 feet shorter than the length and the perimeter of the field is 120 feet what is the length of the field

Length = 36 ft

Step-by-step explanation:

We are told the width of the field is 12 ft shorter than the length.

This means that;

Width = Length - 12

Let's denote width by W and length by L.

Thus;

W = L - 12

Now,we are told the perimeter is 120 ft.

Formula for perimeter of rectangle is;

2(Length + Width)

Thus;

2(L + W) = 120

Putting in L - 12 for W gives;

2(L + L - 12) = 120

Divide both sides by 2 to give;

L + L - 12 = 120/2

2L - 12 = 60

2L = 60 + 12

2L = 72

L = 72/2

L = 36 ft

step-by-step explanation: