1. **State the problem:** We have two identical rectangular plots of land. The first plot has vertices at (0,0), (120,0), (0,120), and (120,120). The second plot is shifted 100 yards east and 120 yards north, so its vertices are at (100,120), (220,120), (100,240), and (220,240). We need to find the combined area of these two plots. 2. **Formula for area of a rectangle:** The area $A$ of a rectangle is given by $$A = \text{length} \times \text{width}$$ 3. **Calculate the area of one plot:** - Length along the x-axis: $120 - 0 = 120$ yards - Width along the y-axis: $120 - 0 = 120$ yards - Area of one plot: $$A = 120 \times 120 = 14400$$ square yards 4. **Check if the plots overlap:** - The second plot is shifted 100 yards east and 120 yards north. - The first plot extends from $x=0$ to $x=120$ and $y=0$ to $y=120$. - The second plot extends from $x=100$ to $x=220$ and $y=120$ to $y=240$. - Along the y-axis, the first plot ends at 120 and the second starts at 120, so they touch but do not overlap vertically. - Along the x-axis, they overlap between $x=100$ and $x=120$. - However, since the y-ranges do not overlap, the plots do not overlap in area. 5. **Calculate combined area:** Since the plots do not overlap, $$\text{Combined area} = 2 \times 14400 = 28800$$ square yards **Final answer:** The combined area of the two plots is $28800$ square yards.