document.write( "Question 224041: The length of a rectangle is three more than twice the width. The perimeter is 36 inches. Find the dimensions.\r
\n" ); document.write( "\n" ); document.write( "I have x=2x +3 = 36 Have I done this correct. \n" ); document.write( "

Algebra.Com's Answer #167374 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
The length of a rectangle is three more than twice the width. The perimeter is 36 inches. Find the dimensions.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Perimeter means adding up the all 4 sides of the rectangle.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let w be the width.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 2w+3 be the length.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Then P=w+w+2w+3+2w+3=36 and solving yields the following steps.\r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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This is an equation! Solutions: w=5.
Graphical form: Equation $\"w%2Bw%2B2w%2B3%2B2w%2B3=36\"$ was fully solved.
Text form: w+w+2w+3+2w+3=36 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+w%2Bw%2B2w%2B3%2B2w%2B3=36+%29\"$
For tutors: simplify_cartoon( w+w+2w+3+2w+3=36 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"w%2Bw%2B2%2Aw%2Bhighlight_red%28+3+%29%2B2%2Aw%2Bhighlight_red%28+3+%29=36\"$ .
Added fractions or integers together
It becomes $\"w%2Bw%2B2%2Aw%2Bhighlight_green%28+6+%29%2B2%2Aw=36\"$ .
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Look at $\"w%2Bw%2B2%2Aw%2Bhighlight_red%28+6+%29%2B2%2Aw=36\"$ .
Moved $\"6\"$ to the right of expression
It becomes $\"w%2Bw%2B2%2Aw%2B2%2Aw%2Bhighlight_green%28+6+%29=36\"$ .
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Look at

.
Eliminated similar terms $\"highlight_red%28+w+%29\"$ , $\"highlight_red%28+w+%29\"$ , $\"highlight_red%28+2%2Aw+%29\"$ , $\"highlight_red%28+2%2Aw+%29\"$ replacing them with $\"highlight_green%28+%281%2B1%2B2%2B2%29%2Aw+%29\"$
It becomes $\"highlight_green%28+%281%2B1%2B2%2B2%29%2Aw+%29%2B6=36\"$ .
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Look at

.
Added fractions or integers together
It becomes $\"%28highlight_green%28+6+%29%29%2Aw%2B6=36\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+6+%29%29%2Aw+%29%2B6=36\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"highlight_green%28+6+%29%2Aw%2B6=36\"$ .
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Look at $\"6%2Aw%2B6=highlight_red%28+36+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-36+%29\"$
It becomes $\"6%2Aw%2B6-highlight_green%28+36+%29=0\"$ .
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Look at $\"6%2Aw%2Bhighlight_red%28+6+%29-highlight_red%28+36+%29=0\"$ .
Added fractions or integers together
It becomes $\"6%2Aw%2Bhighlight_green%28+-30+%29=0\"$ .
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Look at $\"6%2Aw%2Bhighlight_red%28+-30+%29=0\"$ .
Removed extra sign in front of $\"-30\"$
It becomes $\"6%2Aw-highlight_green%28+30+%29=0\"$ .
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Look at $\"highlight_red%28+6%2Aw-30+%29=0\"$ .
Solved linear equation $\"highlight_red%28+6%2Aw-30=0+%29\"$ equivalent to 6*w-30 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: w=5.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With w=5, then 2w+3=13 and P=2(5+13)=36 which is a true statement\r
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\n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: The dimensions of the rectangle are 5 inches and 13 inches.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps and explanation were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for \r
\n" ); document.write( "\n" ); document.write( "Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. \r
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\n" ); document.write( "\n" ); document.write( "Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV\r
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