A rectangular field measures 150 meters by 100 meters. A path 5 meters wide is constructed around the field inside the boundary. What is the area of the path? - Treasure Valley Movers

A rectangular field measures 150 meters by 100 meters. A path 5 meters wide is constructed around the field inside the boundary. What is the area of the path?

In today’s evolving urban and agricultural landscapes, measurements involving precise spatial planning are more relevant than ever. One common scenario is a rectangular field framed by a consistent, well-defined path—often found in community farms, recreational grounds, or smart farming setups. Understanding how to calculate such paths’ area offers insight into spatial efficiency and landscape design trends across the U.S. This total area reveals how even small additions like a uniform walkway shape usable space, budgeting, and design.

Why spatial planning around rectangular fields matters in the U.S.

Psychologists and designers increasingly emphasize efficient land use, particularly in suburban and rural redevelopment. A rectangular field measuring 150 meters by 100 meters—roughly equivalent to a 5000-square-meter plot—lends itself to scalable planning. When a path of consistent width, in this case 5 meters, is built entirely inside the boundary, it creates a narrow but significant buffer zone. This spatial layer influences irrigation access, foot traffic flow, and overall land productivity. As green spaces are reimagined for sustainability and utility, quantifying these features helps decision-makers maximize utility without wasting valuable square footage.

How to calculate the area of the path newly constructed around the field

To find the area enclosed by the path, the key is understanding how the total boundary shifts inward by the path width on all sides. With a uniform 5-meter-width path running inside the perimeter, each edge of the rectangle shrinks inward by 10 meters—5 meters on both sides. The outer rectangle has dimensions 150 m × 100 m, while the inner field remains unchanged but surrounded by space for navigation or aesthetics.

The inner rectangular field itself still measures 150 m by 100 m, but the total area now encompasses the inner space plus the surrounding path. Instead of recalculating from scratch, subtract the inner field from the outer extended rectangle:

• Outer total area: (150 + 2×5) × (100 + 2×5) = 160 m × 110 m = 17,600 m²
• Inner field area: 150 m × 100 m = 15,000 m²

Path area = Outer total – Inner field area = 17,600 – 15,000 = 2,600 m²

This formula—adjusting for inward reduction—works across diverse real-life scenarios, from backyard gardens to farm access routes. It provides a repeatable method useful for both amateur planners and professionals.

Common questions people ask about this rectangular field with a 5-meter path

H3: How does the 5-meter path affect usable land?
The path circulates around the entire field, reducing the central planting or activity zone by a uniform strip. Though the outer space now totals 17,600 m², the inward-most path edge cuts off approximately 2,600 m², mainly used for movement, vegetation