A rectangular field has a length that is twice its width. If the perimeter of the field is 180 meters, what is the width of the field?

Fri, 17 Apr 2026 00:00:50 +0000

**A rectangular field has a length that is twice its width. If the perimeter of the field is 180 meters, what is the width of the field?** In a world increasingly focused on spatial design, efficient land use, and mathematical clarity, one question quietly sparks widespread interest: a rectangular field has a length that is twice its width, and the perimeter measures 180 meters. How wide is the field? This is more than a basic geometry problem—it reflects a growing trend in urban planning, agriculture, and even real estate, where precise measurements drive decisions. Whether you’re managing farm expansion, designing community spaces, or analyzing land efficiency, understanding how to calculate dimensions helps solve real-world challenges. Why is a rectangle with length twice the width generating attention now? In an era of sustainable development and optimized land usage, such proportional relationships reveal practical insights into space efficiency and structural predictability. Modern surveys, architectural planning, and data-driven farming rely on accurate dimensions to maximize output while minimizing waste—making this simple problem a gateway to deeper understanding. A rectangular field has a length that is twice its width. If the perimeter of the field is 180 meters, what is the width of the field? The solution combines algebra with standard geometry formulas. Start with the perimeter formula for a rectangle:
P = 2(length + width).
Since length = 2 × width, substitute:
P = 2(2w + w) = 2(3w) = 6w.
Set equal to 180 meters:
6w = 180 → w = 180 ÷ 6 = 30.