Answer:
The dimensions of the largest square field the farmer can enclose are 270 yards by 270 yards.
Explanation:
To find the dimensions of the largest square field the farmer can enclose with 1080 yards of fencing, we need to determine the length of each side of the square.
In a square, all sides are equal in length. Let's denote the length of each side as "s" yards.
The perimeter of a square is calculated by adding up the lengths of all sides. Since a square has four equal sides, the perimeter can be expressed as:
Perimeter = 4s
According to the problem, the farmer has 1080 yards of fencing available for the perimeter. We can set up the equation:
4s = 1080
To find the length of each side (s), we divide both sides of the equation by 4:
s = 1080 / 4
s = 270
Therefore, the dimensions of the largest square field the farmer can enclose are 270 yards by 270 yards.