A rectangular swimming pool is 25 meters long and 10 meters wide. A walkway of uniform width surrounds the pool, and the total area of the pool and walkway combined is 600 square meters. What is the width of the walkway? - Treasure Valley Movers
Why More Homeowners Are Choosing Rectangular Pools with Uniform Walkways – And How You Can Understand the Math Behind It
Why More Homeowners Are Choosing Rectangular Pools with Uniform Walkways – And How You Can Understand the Math Behind It
Tending to the exterior outdoor space with intention has never been more popular in the U.S. As lifestyles shift toward outdoor living and smart home integration, the rectangular swimming pool has emerged as a centerpiece in modern residential design. For many, a sleek 25-meter by 10-meter pool isn’t just a functional feature—it’s a statement. Adding a thoughtfully designed walkway around it elevates the space, enhancing both aesthetics and usability. A growing number of homeowners are curious: What’s the exact width of a uniform walkway surrounding a 25m x 10m pool that totals 600 square meters when combined? This question reflects a deeper interest in space planning and precise design calculations—driven by aesthetic balance, property value, and outdoor functionality.
A Rectangular Swimming Pool Is 25 Meters Long and 10 Meters Wide. A Walkway of Uniform Width Surrounds It—What Does the Math Reveal?
A rectangular pool measuring 25 meters by 10 meters forms a core area of 250 square meters, but when a walkway of equal width surrounds it, the combined footprint expands to 600 square meters. This shift transforms simple calculations into a valuable planning tool. The walkway adds uniform space around the pool, creating an extended outdoor zone used for relaxation, recreation, or entertaining—making the total area 600 square meters. Understanding how much space the walkway occupies not only satisfies curiosity but empowers smarter design decisions. With precision, the width of this surrounding path becomes a tangible variable informed by geometry, not guesswork.
Understanding the Context
Exactly How to Calculate the Walkway Width: A Step-by-Step Guide
To find the uniform walkway width surrounding the pool, begin by calculating the full outer dimensions, then isolate the walkway’s contribution:
- Pool area: 25 m × 10 m = 250 m²
- Total area (pool + walkway): 600 m²
- Area of the walkway: 600 − 250 = 350 m²
Let the walkway be x meters wide, extending equally on all sides. This means the total length becomes 25 + 2x, and the total width becomes 10 + 2x.
The complete area is then:
(25 + 2x) × (10 + 2x) = 600
Expanding:
(25 + 2x)(10 + 2x) = 600
250 + 50x + 20x + 4x²