A rectangular garden measures 15 meters by 10 meters. A path 1 meter wide is laid around the garden inside its perimeter. What is the area of the path? - Redraw

Understanding the Context

As urban living evolves and suburban homes seek meaningful functionality, incorporating narrow paved or paved-style paths inside garden perimeters has emerged as a smart solution. Unlike wider or fully paved outdoor spaces, a 1-meter path neatly defines zones without swallowing valuable planting or recreation areas. In the United States, where outdoor rooms increasingly serve as extensions of home life—whether for gardening, relaxation, or entertaining—the optimization of small, precise footprints is becoming more relevant. Content and design discussions around compact, well-planned gardens increasingly highlight subtle yet powerful details like this precise path layout.

How a 1-Meter Path Inside a 15m x 10m Garden Works Mathematically

The garden forms a rectangle measuring 15 meters long and 10 meters wide, giving it an area of 150 square meters. Around the inner edge, a 1-meter-wide path creates an inner rectangle for planting or use. To find the path’s area, subtract the inner rectangular planting zone from the full garden area.

First, the inner planting rectangle’s length becomes 15 – 2×1 = 13 meters (1 meter reduced on each side), and width is 10 – 2×1 = 8 meters. The planting area is thus 13 m × 8 m = 104 square meters.

Key Insights

Subtracting from the total garden area:
150 m² – 104 m² = 46 m²

This 46 square meters is the area occupied by the 1-meter-wide path all around the garden’s inside edge.

Alternatively, visualizing the path as a uniform strip slightly inward from every side optimizes area calculation—this strip maintains consistent width and can be verified via simple algebra or geometry tools. The mathematical precision behind this measurement underscores why such problems remain central in educational and practical design discussions.

Common Questions About the Path Area

H3: How is the path area calculated accurately?
The path is removed from the total garden rectangle by accounting 1 meter inward on all sides, forming a smaller rectangle. Subtracting its area from the full garden gives the path’s area—no assumptions, just direct calculation.

Final Thoughts

H3: Does the path width affect how total garden area is reduced?
Yes, a consistent 1-meter width ensures the inner planting space shrinks by 2 meters in length and 2 meters in width (1 meter on each side), resulting in a reduced planting area and fully computable path footprint.

H3: Can irregular gardens use this method?
While this calculation applies precisely to rectangular layouts, similar area-difference approaches can inform planning, though exact measurements require adjusted geometry for straightforwardness.

Opportunities and Considerations

Pros:

• Maximizes usable garden space with defined borders
• Offers easy access to planting beds without encroaching on green areas
• Enhances aesthetic flow inside outdoor living zones
• Supports modular design and seasonal layout changes

Cons:

• Requires precise planning to avoid space underestimation or overcompensation
• Path material choice