There is a unit inconsistency in the problem statement: the length difference is given in metres, while the area is given in centimetres squared. For a "plot of land" for a "poultry farmer", it is highly probable that the area should be in square metres to be consistent with the length difference in metres and to represent a realistic plot size. I will proceed with the assumption that the area is $\text{180 metres squared}$. Step 1: Define variables. Let $w$ be the width of the rectangular plot in metres. Let $l$ be the length of the rectangular plot in metres. Step 2: Formulate equations based on the given information. The length of the plot is 3 metres more than its width: $$l = w + 3$$ The total area of the plot is 180 square metres (based on the assumption): $$\text{Area} = l \times w = 180$$ Step 3: Substitute the expression for $l$ into the area equation. Substitute $l = w + 3$ into the area equation: $$(w + 3)w = 180$$ Step 4: Expand and rearrange the equation into the standard quadratic form $ax^2 + bx + c = 0$. $$w^2 + 3w = 180$$ Subtract 180 from both sides to set the equation to zero: $$w^2 + 3w - 180 = 0$$ The quadratic equation representing this situation is: $$\boxed{w^2 + 3w - 180 = 0}$$ That's 3 down. 2 left today — send the next one.