A rectangular garden has a length that is 3 times its width. If the perimeter of the garden is 64 meters, find the area of the garden.

Thu, 30 Apr 2026 04:01:24 +0000

A rectangular garden with a length three times its width offers a simple yet powerful mathematical story that’s gaining quiet attention in US home gardening circles. As people seek ways to maximize space, durability, and design clarity, this proportion—widely used in everything from urban balconies to backyard layouts—models efficiency and balance. Official perimeter measurements, like 64 meters, unlock precise planning: knowing the total edge length reveals both creative potential and accurate scale, making math feel immediately applicable and relevant. Comparing length to width at a ratio of 3:1 means the longer side covers 75% of the total linear space, shaping efficient growth patterns and accessibility. When the perimeter equals 64 meters, mathematical breakdown reveals hidden symmetry shaping this garden’s form—annual planning, irrigation layout, and even planting density all rely on this geometric clarity. This ratio simplifies space division, enabling intentional garden zoning without complexity. Mobile-first audiences searching for practical, relatable garden projects are increasingly curious about how ratios affect layout. Why this layout? Designers and homeowners favor it because it balances visual appeal with functional ease: planting rows, pathways, and maintenance zones all align neatly within predictable dimensions. It supports smart irrigation routing and seasonal crop rotation, reinforcing long-term sustainability—key factors in today’s cost-conscious and eco-aware housing trends. Still, common questions surface: How do you derive area from just the perimeter and ratio? What does 64 meters under this condition really yield? Calculating step by step, start by expressing width as “w,” so length is “3w.” The perimeter formula 2(length + width) becomes 2(3w + w) = 8w. Set equal to 64 meters: 8w = 64 → w = 8. Then length is 24 meters. Area then follows: 24 × 8 = 192 square meters. This precise outcome grounds DIY gardeners in fact, turning abstract ratios into tangible square footage.