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? - Redraw
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:
📰 microneedling before and after 📰 micronofo 📰 microphone clipart 📰 Pocket Emo Its More Than A Faveheres What It Actually Does 4088747 📰 Did Billie Eilish Die 548876 📰 How Long Will I Poop After Taking Magnesium Citrate 3401280 📰 Sophie Rain Unleashes Spider Mans Fury In Blinding New Revelation 7084633 📰 Al16 Modern Floor Lamps That Will Transform Your Room Into A Luxe Oasis 6322332 📰 Software Builds Just Got Easier Everything You Need To Know About Visual Studio Build Tools 2022 7651017 📰 Zero Prep Just A Zerg Rush Heres Why Top Players Cant Resist The Chaos 5978721 📰 Gnl Stock Price Shocks The Marketheres Why It Could Surge Over 50 In 2024 8983698 📰 Finally Found How To Get Command Block In Minecraft Step By Step Timelapse 5236905 📰 Berkheimers Secret That Will Give You Instant Shock After You Hear This 1637656 📰 Burlington Vt News 331894 📰 Whats The Difference Between Purified Water And Distilled Water 411544 📰 Most Intelligent Man In World 671181 📰 Food Challenges In Indianapolis 6416153 📰 The Secret Messages In The Worlds Name Holds Your Fate 8000341Final 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:
