Subjects geometry

Combined Area 8537D9

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1. **State the problem:** We have two identical rectangular plots of land. The first plot has vertices at approximately $(20,0)$, $(20,80)$, $(100,80)$, and $(100,0)$. The second plot is located 140 yards east and 100 yards north of the first plot. We need to find the combined area of these two plots. 2. **Find the dimensions of one plot:** - Length along the x-axis: $100 - 20 = 80$ yards - Width along the y-axis: $80 - 0 = 80$ yards 3. **Calculate the area of one plot:** $$\text{Area} = \text{length} \times \text{width} = 80 \times 80 = 6400$$ square yards 4. **Since the second plot is identical, its area is also 6400 square yards.** 5. **Calculate the combined area:** $$\text{Combined area} = 6400 + 6400 = 12800$$ square yards 6. **Answer:** The combined area of the two plots is **12800** square yards.