A rectangular swimming pool is 25 meters long and 10 meters wide. If a deck of uniform width surrounds the pool and the total area including the deck is 400 square meters, what is the width of the deck? - NBX Soluciones
A rectangular swimming pool is 25 meters long and 10 meters wide. If a deck of uniform width surrounds the pool and the total area including the deck is 400 square meters, what is the width of the deck?
A rectangular swimming pool is 25 meters long and 10 meters wide. If a deck of uniform width surrounds the pool and the total area including the deck is 400 square meters, what is the width of the deck?
A rectangular swimming pool measuring 25 meters by 10 meters acts as a familiar centerpiece in many American homes. As pool ownership grows alongside rising interest in outdoor living and home relaxation, more people are exploring ways to enhance these spaces with decks—open areas that blend functionality with style. The query asking for the uniform deck width around such a pool reflects a tangible, real-life planning challenge: maximizing space and aesthetics while managing layout and budget. With a total area of 400 square meters, the calculation reveals how even small changes in surrounding space can significantly impact the final design.
Understanding the Context
Why Is This Question Gaining Traction in the U.S.?
In recent years, mobile-first homeowners across the United States are prioritizing outdoor environments that support family gatherings, casual entertainment, and healthy recreation. The popularity of outdoor furniture, pool maintenance, and home transformation projects has driven curiosity about how to optimize swimming pool layouts. A rectangular pool—simple yet versatile—sets the stage for thoughtful deck design, often the next step in creating a cohesive outdoor experience. When combined with the realistic total area of 400 square meters, including the deck, users seek precise measurements to balance form, function, and investment.
Breaking Down the Geometry: How Deep Is the Deck?
Image Gallery
Key Insights
We begin with the pool dimensions: 25 meters in length and 10 meters in width. Adding a consistent deck width $ x $ around the pool means extending each side by $ 2x $, resulting in new outer dimensions:
- Length: $ 25 + 2x $ meters
- Width: $ 10 + 2x $ meters
The total area including the deck is then:
$$ (25 + 2x)(10 + 2x) = 400 $$
Expanding this:
🔗 Related Articles You Might Like:
📰 stranger things ending 📰 path of exile trade 📰 bastion arc raiders 📰 The Extension Edge Everyones Talking Aboutsee Why Its Taking The Web By Storm 1139994 📰 Hemosiderin Staining 10673 📰 Psn Username Check 6159751 📰 Discover How Umbrella Labs Is Changing Weather Prediction Forever 6029902 📰 Eyes On Prada This Mens Sunglasses Looks Too Timeless To Forget 6873946 📰 The Shocking Threat To Wy Fresh Youre Ignoring Inside Now 6002753 📰 Comcast Home Internet 6538757 📰 Horse Running 2458306 📰 How Old Is John Walsh 5723886 📰 Walt Disney World Near Hotels 9019416 📰 Aurora Cannabis 7786449 📰 Regina Hall Stuns Critics With Gesture Packed New Movie Thats Taking Tiktok By Storm 266383 📰 Yahoo Finances Top Alert Vix Index Spike Could Trigger A Crisisdont Be Caught Off Guard 9826341 📰 The Real Simon Med Shockingly Breaks Down The Hidden Cost Behind Star Success 4907924 📰 Rate My Music 254301Final Thoughts
$$
250 + 50x + 20x + 4x^2 = 400
\Rightarrow 4x^2 + 70x + 250 = 400
\Rightarrow 4x^2 + 70x - 150 = 0
$$
Dividing through by 2 to simplify:
$$ 2x^2 + 35x - 75 = 0 $$
Applying the quadratic formula $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $, we find:
$$ x =
