A rectangular plot of land is being evaluated for development. The length of the plot is 3 times its width. If the perimeter of the plot is 320 meters, find the area of the plot.

Sat, 09 May 2026 03:10:34 +0000

**Why Is a Rectangular Plot’s Area Becoming a Conversation in US Development?**
With rising demand in urban and suburban expansion, evaluating rectangular land plots for development is gaining traction among property investors, urban planners, and homebuyers. One key calculation driving interest is determining how much space a specific plot—where the length is three times the width—and perimeters of 320 meters yield. While seemingly simple, this math reveals practical insights for land assessment, investment planning, and infrastructure design. The precision behind such evaluations reflects broader trends in smart, data-driven development across the U.S. **Why This Calculation Matters Now**
In an era where land scarcity and smart growth strategies shape real estate decisions, understanding plot dimensions is more relevant than ever. Buyers and developers increasingly seek clarity on usable space, construction feasibility, and ROI potential. A 3:1 length-to-width ratio with a fixed perimeter creates a predictable, scalable layout ideal for homes, gardens, or light commercial use—factors driving demand for accurate measurements. This isn’t just geometry; it’s a practical foundation for smarter land investment in growing communities. **How to Calculate the Area of a Rectangular Plot with Perimeter and Ratio**
To find the area, start with the relationship: the length is 3 times the width. Let width = *w*; then length = *3w*. The perimeter formula, *P = 2(length + width)*, becomes:
320 = 2(3w + w) → 320 = 2(4w) → 320 = 8w → *w = 40 meters*.
Length = 3 × 40 = 120 meters.
Area = length × width = 120 × 40 = 4,800 square meters.
This straightforward breakdown ensures accuracy without confusion, delivering reliable results essential for planning. **Common Questions About A Rectangular Plot with Perimeter 320 Meters**
*Q: Why use length-to-width ratios in land plots?*
Ratio-based sizing helps visualize scalable, efficient layouts—ideal for architectural design and lot optimization.