Perimeter: \( 2(w + 3w) = 48 \) - Esdistancia
Understanding the Perimeter Equation: \( 2(w + 3w) = 48 \)
Understanding the Perimeter Equation: \( 2(w + 3w) = 48 \)
Calculating the perimeter of geometric shapes starts with understanding key expressions and solving equations that describe them. One common algebraic challenge involves perimeter formulas in terms of a variable. Consider the equation:
\[
2(w + 3w) = 48
\]
Understanding the Context
This equation represents a real-world scenario where you’re working with the perimeter of a shape whose side lengths involve a variable \( w \), multiplied by constants. Solving it yields the value of \( w \), which helps determine the actual size of the perimeter.
Simplifying the Expression Inside the Parentheses
The expression \( w + 3w \) represents the sum of two related side lengths—possibly adjacent sides of a rectangle or similar figure. Combining like terms:
\[
w + 3w = 4w
\]
Image Gallery
Key Insights
Substitute this back into the original equation:
\[
2(4w) = 48
\]
Solving for \( w \)
Now simplify:
\[
8w = 48
\]
🔗 Related Articles You Might Like:
📰 Voyagers LEGO: The Epic Collection That Every Builder Obsesses Over! 📰 Rare LEGO Voyagers Set Unveiled – This Set is Taking the World by Storm! 📰 LEGO Voyagers: Experience the Ultimate Adventure – Don’t Miss These Hidden Gems! 📰 This Mega Zygarde Wrecks Everything On The Battlefieldheres How 📰 This Megabus Ride Changed Everything Megastars Game Is On 📰 This Meijer Credit Card Offer Will Change How You Shop Forever 📰 This Melamine Plate Changed How We Store Food Forevershocking Truth Revealed 📰 This Meme Cafe Breakfast Will Make You Think Twice Before Taking Another Bite 📰 This Meme Face Is So Familiar You Recognize It Instantlylike A Digital Doppelgnger 📰 This Meme Face Is So Real Its Haunting Everyones Dmsdont Ignore Its Power 📰 This Meme Face Made The Internet Laughthen Scream 📰 This Memory Zoo Revealed The Saddest Truth About Yesterdaycould Your Past Be Here 📰 This Mercari Code Unlocks Massive Savings You Cant Ignore Now 📰 This Mercedes Cpo Converts Like Nothing Else Redefining Luxury On The Road 📰 This Mercedes Logo Trick Has Everyone Seeing It Differentlyexcept You 📰 This Mercht Puzzle Will Make You Question Everything You Believed About It 📰 This Merino Wool Base Layer Changed My Workout Its Revealed Under Sunsets 📰 This Merino Wool Sweater Is So Soft It Feels Like A Hugyour New Favorite CollectionFinal Thoughts
To isolate \( w \), divide both sides by 8:
\[
w = \frac{48}{8} = 6
\]
Thus, the value of \( w \) is 6.
Determining the Perimeter
Now that you know \( w = 6 \), plug it into the expression \( w + 3w = 4w \):
\[
4w = 4 \ imes 6 = 24
\]
The full perimeter is twice this sum, as per the formula:
\[
\ ext{Perimeter} = 2(w + 3w) = 2 \ imes 24 = 48
\]
This confirms the solution satisfies the original equation.
