A rectangular garden measures 15 meters by 10 meters. If a path 1 meter wide is built inside along the perimeter, what is the area of the remaining garden space? - Abbey Badges
Optimizing Garden Space: A Rectangular Garden with a 1-Meter Interior Path
Optimizing Garden Space: A Rectangular Garden with a 1-Meter Interior Path
When designing outdoor spaces, maximizing usable area while maintaining inviting pathways is essential—especially in smaller or well-attended garden plots. A rectangular garden measuring 15 meters by 10 meters offers ample growing space, but introducing a 1-meter-wide path along the interior perimeter significantly reduces the planting area. Understanding how this modification affects the effective garden space helps gardeners plan efficiently.
Total Garden Area
The original rectangular garden spans:
- Length = 15 meters
- Width = 10 meters
Understanding the Context
Total area = Length × Width = 15 m × 10 m = 150 square meters
Effect of a 1-Meter Internal Path
Building a path measuring 1 meter wide along the inner perimeter creates a smaller rectangle of usable garden space. Since the path surrounds the entire interior, each dimension of the inner planting zone shrinks by twice the path width (1 meter on each side):
- Reduced length = 15 m – 2 × 1 m = 13 meters
- Reduced width = 10 m – 2 × 1 m = 8 meters
Remaining Garden Area
The usable area inside the path becomes:
13 m × 8 m = 104 square meters
Key Insights
Area Lost to the Path
The difference between the original and optimized planting area reveals the space reclaimed by the path:
150 m² – 104 m² = 46 square meters
Summary
By incorporating a 1-meter-wide path along the interior walls, the remaining active garden area shrinks to 104 square meters within the original 15 m × 10 m plot. This strategic layout preserves usable soil while enabling convenient access, demonstrating how thoughtful spatial design enhances both form and function in residential gardening.
For maximized efficiency, consider plant placement close to pathway edges and using raised beds or containers within the preserved inner garden space.
Final Thoughts
Keywords: rectangular garden area, 15m by 10m garden, interior path garden, garden space savings, optimize garden layout, path in garden, area calculation garden, plantable garden space
