To find the area of the square field, we first need to determine the length of one side of the square. The total fencing, or the perimeter of the square, is given as 80 yards. The formula for the perimeter (P) of a square is:
P = 4 × side
We can set up the equation:
80 = 4 × side
To find the length of one side, we divide both sides of the equation by 4:
side = 80 / 4 = 20 yards
Now that we have the length of one side, we can calculate the area (A) using the formula for the area of a square:
A = side × side
Substituting the length of the side:
A = 20 × 20 = 400 square yards
Thus, the area of the square field is 400 square yards.