A rectangular plot measures 150 meters by 80 meters. A walking path 2 meters wide is added around it. What is the area of the walking path? - Redraw
Why More US Homeowners Are Exploring Rectangular Plots with Walking Paths — The Math Behind the Trend
Why More US Homeowners Are Exploring Rectangular Plots with Walking Paths — The Math Behind the Trend
Imagine a quiet neighborhood suddenly buzzing with conversations about backyard layouts: a large rectangular plot of 150 meters long by 80 meters wide, now softened with a two-meter-wide walking path encircling it. Homeowners aren’t just eyeing square gardens—they’re redefining outdoor space. This trend reflects a quiet shift toward functional, accessible, and designed living areas, especially as urban living patterns and remote work reshape home priorities. With foot traffic, aesthetic appeal, and sustainable landscapes gaining attention, understanding the math behind such designs matters more than ever.
Why This Design Is Trending in the US
Understanding the Context
Housing affordability, evolving lifestyle needs, and the desire for upgraded outdoor spaces are fueling interest in optimized plots. Compact but well-planned layouts offer real value—expanding usable walkability without sacrificing existing ground area. A two-meter-wide path enhances access and circulation while allowing flexibility for multiple functions: walking, light exercise, or gathering. This approach aligns with generational shifts toward wellness, community, and mindful space use—especially in densely populated areas where outdoor room is limited.
How the Walking Path Actually Adds Real Area
A rectangular plot measuring 150 meters by 80 meters forms the core footprint. Adding a 2-meter-wide path around it creates an enlarged rectangle with increased total length and width. The new overall dimensions are:
- Total length: 150 + 2×2 = 154 meters
- Total width: 80 + 2×2 = 84 meters
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Key Insights
The outer rectangle’s total area is therefore:
154 × 84 = 12,936 square meters
Subtracting the original plot:
Original area: 150 × 80 = 12,000 sq. meters
The area of the walking path alone is:
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12,936 – 12,000 = 936 square meters
So, a 2-meter-wide path around the plot increases usable outdoor space by 936 square meters—significantly enhancing walkability and design potential.
Common Questions About A Rectangular Plot with a Walking Path
Q: Does the two-meter path really add that much space?
Yes. Though 2 meters may seem small, it compounds on all sides, producing meaningful gains in usable area—especially on larger plots—without requiring extra land.
**Q: Can you customize path width