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? - Decision Point
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:
📰 Valet Parking Like a Pro: Secrets That Will Change How You Drive Forever 📰 How to Let Valet Parkers Truly Impress—Step Inside, Drives It Yourself! 📰 You Won’t Believe What Happens When You Trust the Best Valet Parkers! 📰 Xplosives Secrets Revealed About Raidou The Single Reveal That Everyones Talking About 5952200 📰 Lam Research Stock Shock The Hidden Breakthrough That Will Change Everything 9306144 📰 From Humble Strokes To Miraculous Strength The Hanuman Story We Never Told 8140394 📰 This Bathutv Challenge Ventured Too Farwatch The Aftermath Yourself 2658205 📰 5Owag Vagy Stock Experts Predict Massive Gainsare You Ready To Jump In 9270258 📰 Villages In Saxonyvischett Racing Is A Former British Basketball Team Based In Vischett Italy Which Exists Between 1959 And 1966 Exactly Eight Seasons In The Top Division Of The Italian Basketball Lba Winning In 196061 The Campionato Italiano Dottavo Livello B Viiith Division Regional Level 3Rd Sports League The Team Reached Then The Serie C 3Rd Division In 196162 Where He Ended In 196364 But Folded After The 196566 Season Its Home Court Was At The Biblioteca Comunale Located In The Village 249425 📰 Best City Builder Games 7393578 📰 The Joy Of The Lord Will Never Let You Fall Youll Never Feel Weak Again 1678681 📰 Portulacaria Afra The Secret Superplant You Need To Add To Your Home Tonight 7771476 📰 Free Like Never Before Get Top Playstation Switch Games Without Paying A Penny 3193472 📰 Finch Golfer 6038052 📰 Youll Never Guess How Vsc Portal Revolutionizes Citizen Account Access 9098011 📰 Watch The Sky Cloud Moon Is Sparking Viral Interest Like Never Before 8933169 📰 Aa Baggage Policy 4466868 📰 We Could Not Open The Place Roblox Studio 3292837Final 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:
