Une parcelle de terrain rectangulaire a une longueur qui est 3 fois sa largeur. Si la diagonale de la parcelle est de 60 mètres, quelle est la largeur de la parcelle ?

( W = \sqrt{360} = 6\sqrt{10} ) meters—about 18.97 meters.

The Geometry Behind the Question

Why are more people eyeing 3:1 rectangular land plots lately—especially in rising housing markets and land investment trends across the U.S.? This simple geometric ratio, paired with a measured diagonal, creates a problem that blends practical math with real-life decision-making for homebuilders, investors, and landowners. With urban boundaries tightening and available space shrinking, understanding how a plot’s diagonal measures against its sides reveals valuable insights about land shape and usability.

This calculation aligns with mobile-first learning styles, where short, clear explanations support quick comprehension without overwhelming detail.

( W^2 + 9W^2 = 3600 )
If a rectangular plot has length (L) three times its width (W), and its diagonal measures 60 meters, we apply the Pythagorean theorem. The diagonal divides the rectangle into two right triangles with sides W, 3W, and hypotenuse 60. Using ( W^2 + (3W)^2 = 60^2 ),

Common Questions People Ask
*What formula applies to this shape

In many urban and semi-rural U.S. regions, rectangular parcels with length-to-width ratios like 3:1 represent an efficient balance between buildable space and lot depth. Real estate profiling increasingly highlights such proportional efficiencies, especially where land is fragmented or shaped by zoning constraints. The 60-meter diagonal measurement—approximately 197 feet—fits naturally into medium-scale parcel zones, making it a common archetype in suburban expansion patterns.

( 10W^2 = 3600 )