A rectangular garden has a length that is 3 meters more than twice its width. If the perimeter is 54 meters, what are the dimensions of the garden? - High Altitude Science
Rectangular Garden Dimensions: Solving for Length and Width with a 54-Meter Perimeter
Rectangular Garden Dimensions: Solving for Length and Width with a 54-Meter Perimeter
Designing a rectangular garden isn’t just about aesthetics—it’s about getting precise measurements to make the most of your space. If you’re planning a garden where the length is 3 meters more than twice the width and the total perimeter is 54 meters, this SEO-friendly article explains how to calculate the exact dimensions using basic algebra and geometry.
Understanding the Relationship Between Length and Width
Understanding the Context
Let the width of the garden be represented by $ W $ (in meters). According to the problem, the length $ L $ is defined as:
$$
L = 2W + 3
$$
This relationship sets up a clear algebraic link between the two key dimensions of your rectangular garden.
Using the Perimeter Formula
Image Gallery
Key Insights
The perimeter $ P $ of a rectangle is calculated with the formula:
$$
P = 2 \ imes (\ ext{Length} + \ ext{Width})
$$
Substituting the known perimeter (54 meters) and the expression for $ L $, we get:
$$
54 = 2 \ imes (L + W)
$$
$$
54 = 2 \ imes ((2W + 3) + W)
$$
🔗 Related Articles You Might Like:
📰 Unlock Wolverine Access Before It Disappears—No One Thought You Could Get It 📰 The Real Wolverine Access Secret—Worlds Behind the Fist Unveiled Now 📰 Wolverine Access Like Never Before—Inside the Gate That Changed Everything 📰 The Next Karate Kid Emerges Unexpectedly Heartbreaking Or Heroic 📰 The Next Karate Kid Shocked The World We Witnessed His Return 📰 The Next Karate Move Will Shock The Worldyou Wont Believe Whats Coming Next 📰 The Next Level Of Shopping Get Your Own Credit Card Without Limitsshop Your Way Today 📰 The Next Level Of Step Up 3 Is Unstoppablewatch It Unfold 📰 The Night Natalia Grace Disappearedno One Knows What Happened That Night But She Changed Everything 📰 The Night She Flewdie Or Become Saint Revelations Unveiled 📰 The Night The Moon First Hatched Secrets Spilled From Its Dark Core 📰 The Night They Sent A Secret Messagespy Kids 2 Leaves The World On Edge 📰 The Night You Lost To Spinpals Casino Was The Moment Your Dreams Started Unraveling 📰 The Nightingale Movie Hidden Secrets That Will Haunt Your Nights Forever 📰 The Nightingale Movie That Haunted Every Viewer Before It Was Even Released 📰 The Nightingale Movie That Left Audiences Breathless In Silenceand Shock 📰 The Nightingale Movie That You Thought Was Fatalbut Proves Completely Different 📰 The Nightingale Movie You Wont Believe How It Shattered Every ExpectationFinal Thoughts
Simplify the expression inside the parentheses:
$$
54 = 2 \ imes (3W + 3)
$$
$$
54 = 6W + 6
$$
Solving for Width $ W $
Subtract 6 from both sides:
$$
48 = 6W
$$
Divide by 6:
$$
W = 8 \ ext{ meters}
$$
Calculating the Length $ L $
Now substitute $ W = 8 $ into the length formula:
