Answer:
5,333 square yards.
Step-by-step explanation:
Football fields have standard 100 yards length, if you walk the perimeter of a football field you will walk the twice the length and twice the width. Therefore, the width of the field can be found as follows:
[tex]306.667 = 2L +2W\\W = \frac{306.667 - 2*100}{2} \\W= 53.33[/tex]
The area of the playing field is the product of the length by the width
[tex]A = L*W\\A= 100*53.33\\A=5333[/tex]
The area of the playing field is 5,333 square yards.
