A rectangular garden is 15 meters long and 10 meters wide. A path 1 meter wide is built around it. What is the area of the path? - Dyverse
Title: How to Calculate the Area of a Garden Path: A 15m × 10m Rectangular Garden with a 1m Wide Path Around It
Title: How to Calculate the Area of a Garden Path: A 15m × 10m Rectangular Garden with a 1m Wide Path Around It
When designing a beautiful and functional outdoor space, one common decision is adding a walking path around a garden. Imagine a rectangular garden measuring 15 meters long and 10 meters wide—that’s a neat 150 square meter area. Now, adding a 1-meter-wide path around the garden significantly enhances both aesthetics and usability. But how much area does this path occupy?
Understanding the Context
Understanding the Garden and Path Dimensions
The original garden measures 15 m × 10 m, giving a footprint of:
- Garden area = 15 m × 10 m = 150 square meters
The path surrounds the garden uniformly, increasing both length and width by 2 meters total (1 meter on each side). Therefore, the new dimensions become:
Key Insights
- New length = 15 m + 2 m = 17 meters
- New width = 10 m + 2 m = 12 meters
Calculating the Total Area Including the Path
Using the updated dimensions:
- Total area (garden + path) = 17 m × 12 m = 204 square meters
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Finding the Area of Just the Path
To determine the area occupied solely by the path, subtract the garden area from the total area:
Path area = Total area – Garden area
Path area = 204 m² – 150 m² = 54 square meters
Summary
- Garden size: 15 m × 10 m = 150 m²
- Expanded garden with 1m wide path: 17 m × 12 m = 204 m²
- Area of the path: 54 square meters
Adding a 1-meter-wide path around a rectangular garden transforms not just the visual appeal but also the usable outdoor space. This simple mathematical factor—tau (from 15×10 garden plus 1m path—yields a clear 54 m² of additional paved, walkable area. Perfect for gardeners, landscapers, and homeowners planning outdoor living spaces!
