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?
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 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:
- 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
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!
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Meta Description (for SEO): Learn how to calculate the area of a 1-meter-wide path around a 15m × 10m rectangular garden. Find detailed steps and results: 54 square meters of additional walkable space.
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