A rectangular plot of land has a length that is 3 times its width. If the perimeter of the plot is 320 meters, what is the width of the plot?

Sun, 03 May 2026 00:13:31 +0000

**Why Are More People Solving Traditional Geometry Problems in Real Life?**
A rectangular plot of land with a length three times its width, enclosed by a 320-meter perimeter, isn’t just a classroom exercise—minds across the U.S. are increasingly applying basic geometry to practical challenges from home improvement to urban planning. With growing interest in property development, sustainable building, and site layout optimization, understanding how to calculate dimensions from perimeter and ratio offers real value. This isn’t just math—it’s a skill shaping how people design and invest in physical space today. **The Width Behind the Perimeter: Why This Problem Matters**
A rectangular plot where length equals three times the width and the total perimeter equals 320 meters follows a clear mathematical model. Used in home gardening, small lot construction, or agricultural zoning, this problem reflects everyday scenarios where land efficiency and precise measurements drive smart decisions. In an era where DIY home projects and data-driven lifestyles thrive, solving this type of geometry puzzle connects users to tangible, real-world applications that feel relevant and applicable. **How to Find the Width When Length Is Three Times Width and Perimeter Is 320 Meters**
Start by recalling the formula for the perimeter of a rectangle:
P = 2(length + width)
Since length = 3 × width, substitute that into the equation:
320 = 2(3w + w) = 2(4w) = 8w
Now solve for w:
w = 320 ÷ 8 = 40 meters This means the width is 40 meters—simple, precise, and easily verified using basic algebra. The method works whether users are reviewing geometry basics, exploring architectural plans, or planning land use within digital tools shaping modern property decisions.