A rectangle has a length that is twice its width. If the perimeter of the rectangle is 36 units, what is the width of the rectangle? - ToelettAPP
How to Solve Rectangle Problems: Finding the Width When Length is Double the Width
How to Solve Rectangle Problems: Finding the Width When Length is Double the Width
Understanding basic geometry principles helps solve many problems involving rectangles—especially when dimensions follow simple ratios. One common question is: If a rectangle has a length that is twice its width and a perimeter of 36 units, what is the width? This article breaks down the math behind the problem with clear steps, making it easy for students and math enthusiasts alike.
Understanding the Context
Understanding the Rectangle’s Dimensions
A rectangle has two consistent measurements: length and width. According to the problem, the length is twice the width. We can express this relationship using algebra:
Let the width = w
Then the length = 2w
Key Insights
Using the Perimeter Formula
The perimeter P of a rectangle is calculated with the formula:
P = 2 × (length + width)
Substituting the values we have:
36 = 2 × (2w + w)
Simplify inside the parentheses:
36 = 2 × (3w)
36 = 6w
🔗 Related Articles You Might Like:
📰 You Won’t Believe What Hidden Gems Reveal About Where to Watch Wicked 📰 They’re Streaming ‘Wicked’ Every Night—No Subscriptions Needed 📰 Uncover the Ultimate Secrets to Stream Wicked in Full Action Now 📰 What Two Digit Number Is Three Less Than A Multiple Of 7 And When Divided By 8 Gives Remainder 7 And When Divided By 9 Gives Remainder 6 But Thats Speculative 📰 What Two Digit Positive Integer Is Three Less Than A Multiple Of 7 And Also Three Less Than A Multiple Of 11 But Not 📰 What Two Digit Positive Integer Is Three Less Than A Multiple Of 7 And Three Less Than A Multiple Of 8 📰 What You Need To Know The Jiffy Cornbread Casserole Thats Revolutionizing Home Cooking 📰 What Your Phone Needs The Best Chunk Finder That Actually Works Revealed 📰 Whats Contecto Everyones Talkingheres The Shocking Truth No One Mentioned 📰 Whats In This Unique Collection Experts Reveal The Hidden Gems Youre Missing 📰 Whats Inside A Country Deli Shocking Secrets Every Foodie Needs To Know 📰 Whats Inside Clevatess Manga Shocking Secrets Fans Have Been Ignoring 📰 Whats Inside This Mythical Clay Villager Mine Reveal Its Hidden Power 📰 Whats Selling At Culloden Flea Market Nj Secret Deals Epic Finds You Wont Believe 📰 Whats The Real Difference Between Complimentary And Complementary Youll Be Surprised 📰 Whats The Real Difference Between Covalent And Ionic Bonds Shocking Facts Inside 📰 Whats Your Citys Secret Identity Build It With This Proven City Name Generator 📰 When You See This Clock It Memeeveryones Planning To Set TimelessFinal Thoughts
Solving for the Width
To find w, divide both sides of the equation by 6:
w = 36 ÷ 6
w = 6
Verifying the Answer
We now know the width is 6 units. Since length = 2 × width, the length is:
2 × 6 = 12 units
Calculate the perimeter to confirm:
P = 2 × (12 + 6) = 2 × 18 = 36 units, which matches the given value.
Final Answer
The width of the rectangle is 6 units.
