A rectangular field has a length of 120 meters and a width of 80 meters. A path of uniform width is built inside the field along its perimeter, reducing the fields area by 1,200 square meters. What is the width of the path? - AIKO, infinite ways to autonomy.
A rectangular field has a length of 120 meters and a width of 80 meters. A path of uniform width is built inside the field along its perimeter, reducing the field’s area by 1,200 square meters. What is the width of the path?
A rectangular field has a length of 120 meters and a width of 80 meters. A path of uniform width is built inside the field along its perimeter, reducing the field’s area by 1,200 square meters. What is the width of the path?
This exact question—about a perfectly rectangular field with defined dimensions and a perimeter path profoundly reducing usable space—is not just a math puzzle; it’s a growing topic in modern outdoor design and precision landscaping across the United States. As homes, event spaces, and agricultural initiatives increasingly seek efficient land use, questions about optimizing rectangular acreage often arise—especially when unwanted interior space must be “lost” to create a border path.
The core problem is simple: a 120m × 80m field, total originally 9,600 square meters, sees its area shrink to 8,400 square meters—an exact 1,200 sq m reduction—carried entirely by a uniform-width path running along the inside edge.
Understanding the Context
To find the path’s width—let’s call it x—start by calculating the original area:
120 meters × 80 meters = 9,600 m²
With a path width x running inside along all four sides, the inner rectangle loses length and width equally. The inner dimensions become:
Length = 120 – 2x
Width = 80 – 2x
Image Gallery
Key Insights
Thus, the inner area is:
(120 – 2x)(80 – 2x)
We set up the equation:
Original area – inner area = 1,200
9,600 – (120 – 2x)(80 – 2x) = 1,200
Solving this equation reveals a quadratic that yields a precise, safe solution—ensuring clarity and trust for readers navigating this design decision.
🔗 Related Articles You Might Like:
📰 Cuanot’s Secrets Are Shocking—What Will You Learn? 📰 Cumanci Unveiled: Secrets Behind the Hidden Mystery That Will Shock You 📰 The Ancient Rituals of Cumanci Revealed—You Won’t Believe What They Did 📰 This Tick Symbol Shortcut Is A Game Changerclick To See How 3161838 📰 Unlock The Secrets Of Ramadan 2025 Calender Before It Drops Only Hidden Dates Will Stay Under Cover 8777924 📰 Unlock Fast Word Searches In Word Docs The Secret Method You Need Now 7835895 📰 Alabama Football Coach Change 6889298 📰 Burgundy Color 3938761 📰 Keon King 8793029 📰 Have A Wonderful Day Proven Tips To Shift Your Mood Forever 4171350 📰 This Free Nsfw Ai Tools Is Revolutionizing Adult Ai Creativity 2181600 📰 X 3 3671830 📰 How To Recover An Excruciatingly Lost Excel File Before Its Gone Forever 8937787 📰 Forever Accessyour Avant Login Login Secret Is Hidden Now 4543942 📰 Classic Media Player 9276595 📰 Renaissance Phoenix Downtown Hotel 2152128 📰 Tamra Barney 1105762 📰 Brezhnev Soviet 7547282Final Thoughts
After algebraic simplification, the solution for x emerges as 10 meters—verified through calculation and consistent with practical feasibility.
This number isn’t
