Question

The numbers on a football field indicate 10 yard increments. You walk around the perimeter of a football field between the pylons. You walk a distance of 306 2/3 yards. What is the area of the playing field?

Answer 1

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:

$306.667 = 2L +2W\\W = \frac{306.667 - 2*100}{2} \\W= 53.33$

The area of the playing field is the product of the length by the width

$A = L*W\\A= 100*53.33\\A=5333$

The area of the playing field is 5,333 square yards.