Mrs. Kessler's statement: the width of the field is 12 yards less than the length, so the width can be represented as (x - 12) yards.
To find the area of the field, we can use the formula for the area of a rectangle, which is LENGHT TIMES WIDTH. In this case, the length is x yards and the width is (x - 12) yards, so the area is:
Area = length x width
Area = x(x - 12)
Area = x^2 - 12x
To find the perimeter of the field, we can use the formula for the perimeter of a rectangle, which is 2 times the length plus 2 times the width. In this case, the length is x yards and the width is (x - 12) yards, so the perimeter is:
Perimeter = 2(length + width)
Perimeter = 2(x + x - 12)
Perimeter = 2(2x - 12)
Perimeter = 4x - 24
Therefore, the area of the field in terms of x is x^2 - 12x, and the perimeter of the field in terms of x is 4x - 24.