A rectangular plot of land has a length that is 3 times its width. If the perimeter of the plot is 96 meters, what is the area of the plot?

Tue, 05 May 2026 18:42:33 +0000

**Why Mixing Land Math and Real-World Decisions Matters Online** Ever asked yourself how simple geometry affects everyday choices—like planning a backyard, designing a patio, or investing in outdoor space? A rectangular plot with a length three times its width and a measured perimeter reveals more than just math—it’s a model often used in urban planning, real estate, and sustainable design. With U.S. trends shifting toward smarter land use in suburban and rural areas, solving problems like this connects directly to growing concerns about space efficiency, cost, and long-term planning. Understanding how dimensions translate into usable area helps homeowners, contractors, and developers make informed decisions—especially when faced with space constraints and budget limits. **The Perimeter That Shapes Real Estate Planning** Derived from the geometric relationship where the length is precisely three times the width, and the total perimeter measures 96 meters, this setup serves as a practical example in real-world land evaluation. Begin by recognizing that perimeter connects directly to multiple design variables: total boundary length influences fencing costs, material estimates, and usable space. For a rectangular plot defined by width *w* and length *3w*, the perimeter formula becomes:
Perimeter = 2 × (length + width) = 2 × (3w + w) = 8w.
Given the perimeter equals 96 meters, solving 8w = 96 reveals *w* = 12 meters. This immediately doubles the width to 12 m and triples the length to 36 m—key figures in determining both the total area and future development potential.