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? - Aurero
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:
📰 Steelers Shock the Team: Patriots’ Downfall Starts Here! 📰 The Patriots’ Final Collapse: Steelers’ Relentless Play Exposed All! 📰 Pedileg Exposed: The Hidden Truth Everyone Refuses to Acknowledge 📰 5 Creamy Crockpot Potatoes That Taste Like Cheesy Heaven 📰 5 Cropped Trench Your Secret Weapon For Effortlessly Chic Outfits 📰 5 Cross Necklaces For Women That Everyones Talking About Limited Stock 📰 5 Crying Meme Face Isnt Just Funnyits The Internets Latest Obsessionfind Out Why 📰 5 Cute Looks Thatll Make Every Guy Fall For You Overnight 📰 5 Delightfully Cute Valentines Nail Designs Thatll Steal Your Heart 📰 5 Enchanted Coloriages En Print Imprimerun Dlire De Couleurs Magiques 📰 5 Eye Catching Concert Outfits Thatll Make You The Center Of The Stage 📰 5 Eye Catching Curly Pixie Cuts That Are Taking Social Media By Storm 📰 5 Fall Color Alert This Years Palette Is Dripping With Emotion Style 📰 5 Favored Cortes De Cabello Para Hombre That Rock Hard Critics Wont Stop Talking 📰 5 Find Out Why Concan Tx Is The Fastest Growing Community In South Texas Today 📰 5 From Drab To Dramatic The Curtain Bang That Everyone Is Using Now 📰 5 From Zero To Hero Learn How To Crochet A Stunning Hat Thatll Go Viral 📰 5 Gunpowder Cute Profile Pictures That Will Transform Your Social Game InstantlyFinal 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:
