A precision agriculture drone maps a rectangular 120-acre field divided into 15 equal rectangular sections for soil analysis. If the length of each section is twice its width, what is the width of one section in feet? (Note: 1 acre = 43,560 square feet)
["Title: How Precision Agriculture Drones Map Rectangular Fields for Optimized Soil Analysis", "In modern farming, precision agriculture has revolutionized how farmers monitor crops and analyze soil health. One innovative approach involves using drones to map large rectangular fields into manageable, equal sections—enabling targeted soil sampling and planting strategies.", "Consider a rectangular 120-acre field divided into 15 equal rectangular sections—ideal for detailed soil analysis and precision management. But how do drone mapping algorithms determine the exact dimensions of each section, especially when the area is laid out in a specific rectangular format?", "### What Are the Dimensions of Each Section?", "We are told:\n- The total field area = 120 acres\n- The field is rectangular, divided into 15 equal sections\n- Each section has a length twice its width", "Let’s calculate the area of one section and then use algebra to find the width in feet.", "Step 1: Compute area per section\n[\n\ ext{Area per section} = \frac{120 \ ext{ acres}}{15} = 8 \ ext{ acres}\n]", "Convert acres to square feet using 1 acre = 43,560 square feet:\n[\n8 \ ext{ acres} = 8 \ imes 43,560 = 348,480 \ ext{ square feet}\n]", "Step 2: Define variables\nLet the width of each rectangular section be ( w ) feet.\nThen, the length is ( 2w ) feet.", "Step 3: Use area formula\nArea of a rectangle = length × width\n[\nw \ imes 2w = 2w^2 = 348,480\n]", "Step 4: Solve for ( w )\n[\n2w^2 = 348,480\n]\n[\nw^2 = 174,240\n]\n[\nw = \sqrt{174,240} \approx 417.4 \ ext{ feet}\n]", "So, the width of each 8-acre rectangular section is approximately 417.4 feet.", "This precise drone mapping ensures efficient soil sampling—reducing labor, minimizing waste, and improving crop yield predictability. By dividing large fields into consistent units based on geometric optimization, farmers gain actionable insights tailored to micro-zones across the field.", "Conclusion\nUsing drone technology to analyze rectangular fields like the 120-acre example—where each 8-acre section measures about 417.4 feet wide—exemplifies the fusion of agronomy and engineering. With detailed spatial data, precision agriculture transforms one-size-fits-all practices into customized, high-efficiency farming.", "For farmers leveraging drone-based soil analysis, understanding how rectangular plots are mathematically optimized ensures better resource allocation and smarter decision-making from seed to harvest.", "---", "Keywords: precision agriculture, drone mapping, rectangular field, soil analysis, 8-acre section, farmland optimization, agricultural drones, field mapping, 120-acre field, drone technology in farming", "Meta Description: Learn how a precision agriculture drone maps a 120-acre rectangular field into 15 equal sections—each 8 acres—with dimensions calculated when length is twice the width, enabling efficient soil sampling and smart farming."]
