Question: A rectangular test plot for experimental drought-resistant crops has a fixed perimeter of 120 meters. What is the maximum possible area of the plot?

Fri, 17 Apr 2026 06:48:20 +0000

**A rectangular test plot for experimental drought-resistant crops has a fixed perimeter of 120 meters. What is the maximum possible area of the plot?** Across the American heartland and urban sustainability hubs, growing concern over climate-driven water shortages is shaping new agricultural innovations—none more visible in experimental farm plots than drought-resistant crop testing. That’s why the question echoes so often: *A rectangular test plot for experimental drought-resistant crops has a fixed perimeter of 120 meters. What is the maximum possible area of the plot?* Urban gardeners, climate-smart farmers, and agricultural researchers are all navigating a shifting landscape where land efficiency and water conservation matter more than ever. In a era of extreme weather, optimizing even small plots isn’t just about higher yields—it’s about resilience. This precision-based puzzle isn’t abstract: it’s a real-world model for sustainable farming under environmental stress. Fixed perimeter means the total length of fencing is constant. For a rectangle, perimeter equals twice the sum of length and width: P = 2(L + W). Here, 120 meters means L + W = 60. To maximize area—L × W—mathematically, the optimal shape under fixed perimeter is a square. But more than theory, this drives practical experimentation: how to get the largest productive square or near-square plot?