5**Question:** A data analyst is examining two plots of land shaped as rectangles. The first rectangle measures 8 meters by 6 meters, and the second measures 10 meters by 5 meters. What is the average area of these two plots in square meters?

["Question: A data analyst is examining two plots of land shaped as rectangles. The first rectangle measures 8 meters by 6 meters, and the second measures 10 meters by 5 meters. What is the average area of these two plots in square meters?", "When analyzing land parcels for investment, planning, or development, calculating areas accurately is essential. In this case, a data analyst is evaluating two rectangular plots to determine their average size—an important metric for land valuation and spatial planning. Understanding how to compute average area helps in comparing different properties efficiently.", "To find the average area of the two plots, start by calculating the area of each rectangle.", "The area of a rectangle is found using the formula:", "$$\n\ ext{Area} = \ ext{length} \ imes \ ext{width}\n$$", "For the first plot (8 meters by 6 meters):\n$$\n\ ext{Area}_1 = 8 \ imes 6 = 48 \ ext{ square meters}\n$$", "For the second plot (10 meters by 5 meters):\n$$\n\ ext{Area}_2 = 10 \ imes 5 = 50 \ ext{ square meters}\n$$", "Next, compute the average of the two areas:", "$$\n\ ext{Average Area} = \frac{\ ext{Area}_1 + \ ext{Area}_2}{2} = \frac{48 + 50}{2} = \frac{98}{2} = 49\n$$", "Thus, the average area of the two rectangular plots is 49 square meters.", "This calculation provides a clear, standardized measure that supports data-driven decision-making in real estate, agriculture, or urban planning. By using basic geometry combined with arithmetic averaging, analysts can efficiently summarize spatial data into actionable insights. Whether comparing land values or optimizing space usage, knowing the average area enables better forecasting and resource allocation."]