A rectangular garden measures 30 meters by 20 meters. If a path of uniform width is built around the garden, reducing the planting area to 400 square meters, what is the width of the path? - RTA

Understanding the Context

Why This Garden Design Is Rising in U.S. Discussion

The 30×20 meter layout reflects a popular, space-efficient standard in American suburban and apartment gardens. As housing prices grow and green living gains momentum, homeowners increasingly focus on balancing aesthetics, usability, and maintenance. A uniform path—often between 1.5 to 2 meters wide—creates clear circulation while preserving a core planting zone. This practical approach aligns with trends toward functional outdoor living and readily earns engagement in search and Discov schemes focused on design and space optimization.

How to Calculate the Path Width from the Given Data

Let’s break down the calculation simply and accurately:

Key Insights

• Original dimensions: 30m (length) × 20m (width)
• Original planting area: 30 × 20 = 600 m²
• Target planting area after path: 400 m²
• Area occupied by path: 600 – 400 = 200 m²
• Let the path width be x meters, adding 2x meters to each dimension
• New planting dimensions: (30 – 2x) × (20 – 2x)
• Equation: (30 – 2x)(20 – 2x) = 400
• Expanding: 600 – 100x + 4x² = 400
• Simplify: 4x² – 100x + 200 = 0
• Divide by 4: x² – 25x + 50 = 0
• Solve using quadratic formula:
  x = [25 ± √(625 – 200)] / 2
  x = [25 ± √425] / 2
  √425 ≈ 20.62 → x ≈ (25 ± 20.62)/2
• Two solutions: x ≈ 22.81 (unrealistic, exceeds original dimensions) and x ≈ 2.19 meters

Thus, the path width is approximately 2.2 meters—well within typical garden planning ranges.

Common Questions About Garden Path Dimensions

H3: Is a 2.2-meter path too wide for a standard garden?
No, such a width offers a generous access corridor while allowing at least 400 m² of planting space—ideal for vegetables, flowers, or resting zones without overwhelming the garden.

H3: Can the path width vary across sides?
No—uniform paths preserve symmetry and structural balance, keeping calculations straightforward and cost-determinable.

Final Thoughts

H3: What happens if the path is too narrow?
Too narrow limits access and may reduce planting functionality; the 2.2-meter width safely balances these needs.

Opportunities and Realistic Considerations

Pros of a uniform path include improved accessibility, clear separation between walking and planting zones, and enhanced garden usability. The core planting area remains well above minimum recommended sizes (usually 200–300 m² for enjoyment and biodiversity). However, construction costs and soil disruption increase with width—families should weigh budget and long-term goals.

Common Misunderstandings Clear Up

It’s often assumed a path of 2 meters leaves more than 400 m² planting space—but accurate measurement reveals only about 400 m² remains at 2.2 meters. Another myth suggests walking paths must be narrow, ignoring sustainability and comfort. This garden layout walks the line between form and function—not extreme, but realistic.

Who Should Consider This Design