A rectangle has a length that is three times its width. If the perimeter of the rectangle is 64 meters, find its area.

Fri, 17 Apr 2026 07:43:27 +0000

**Why the Geometry of a 3:1 Rectangle Captures Attention—Now More Than Ever**
People across the United States are increasingly drawn to everyday shapes and measurements, especially when they reveal hidden efficiency or design logic. A rectangle with a length three times its width offers a compelling math puzzle: if the perimeter is 64 meters, what’s the actual area? This isn’t just an abstract exercise—it reflects fundamental design principles used in architecture, urban planning, and product development. As more users explore practical math in real-world contexts, geometries like this enter the spotlight not only for their precision but for how they connect to larger trends in space optimization and sustainability. **The Shape Behind the Numbers: Unlocking Length and Width**
In standard rectangle geometry, length and width follow predictable relationships. When a rectangle’s length measures three times its width, each dimension ties directly to the perimeter. With a perimeter of 64 meters, this ratio simplifies complex calculations into relatable terms. Solving for real-world measurements helps users visualize proportional thinking—skills valued in fields from engineering to interior design. The equation remains balanced and intuitive, making it ideal for online tools and mobile learning experiences. **Why This Rectangle Matters in Today’s Design Landscape**
A length three times the width isn’t rare—it’s strategic. In modern architecture and efficient layout planning, maximizing usable area within a fixed perimeter is key. This shape allows optimal space utilization, whether used in digital interfaces, garden beds, or warehouse storage. The 3:1 ratio reflects a deliberate choice toward functional efficiency rather than guesswork. Users navigating home improvement projects or product comparisons increasingly rely on math that aligns with real-world utility. Knowing how to calculate area from perimeter not only satisfies curiosity but empowers smarter decisions in everyday life. **Step-by-Step: Calculation You Can Trust**
Let width = w; then length = 3w
Perimeter = 2(length + width) = 2(3w + w) = 2(4w) = 8w
Set 8w = 64 → w = 8 meters
Then length = 3 × 8 = 24 meters
Area = length × width = 24 × 8 = 192 square meters