The ratio of the lengths of two sides of a rectangle is 3:5. If the perimeter of the rectangle is 64 meters, find the length of the longer side.

Wed, 06 May 2026 05:35:27 +0000

**Why the ratio 3:5 and a 64-meter perimeter still matters—solved** In a world increasingly shaped by precise measurements and visual data, understanding how simple geometry influences real-life applications remains a quiet but powerful trend. One such example is the relationship between the sides of a rectangle, specifically when their ratio is 3:5 and the total perimeter reaches 64 meters. This isn’t just a classroom exercise—it’s a foundational concept used in architecture, urban planning, interior design, and even trend forecasting in construction and real estate development. Breaking down the math, the ratio 3:5 means that for every 3 units of the shorter side, the longer side spans 5 units. When added together, those customary measurements equal 8 proportional parts—3 + 5 = 8. With a perimeter of 64 meters, each proportional part measures exactly 8 meters. Multiplying this by the longer side’s share (5 parts) reveals the length: (5 ÷ 8) × 64 = 40 meters. That’s not just a number—it’s a precise answer shaping scalable space planning. Beyond the classroom