document.write( "Question 223729: The perimeter of a rectangle is 64 meters. the sum of the length and width is 32 meters. Find the length and width of the rectangle.
\n" ); document.write( "Tried 2x+2y= 64
\n" ); document.write( "x+y=32...now what? Thanks so much! \n" ); document.write( "
Algebra.Com's Answer #167213 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
The perimeter of a rectangle is 64 meters. The sum of the length and width is 32 meters. Find the length and width of the rectangle. \r
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\n" ); document.write( "\n" ); document.write( "Step 1. Perimeter P means adding up all 4 sides of a 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 32-w be the length.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Then, P=w+w+w-32+w-32=4w-64=64\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: w=32.
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  • Graphical form: Equation \"4w-64=64\" was fully solved.
  • Text form: 4w-64=64 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+4w-64=64+%29\"
    For tutors: simplify_cartoon( 4w-64=64 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"4%2Aw-64=highlight_red%28+64+%29\".
Moved these terms to the left \"highlight_green%28+-64+%29\"
It becomes \"4%2Aw-64-highlight_green%28+64+%29=0\".
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Look at \"4%2Aw-highlight_red%28+64+%29-highlight_red%28+64+%29=0\".
Added fractions or integers together
It becomes \"4%2Aw%2Bhighlight_green%28+-128+%29=0\".
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Look at \"4%2Aw%2Bhighlight_red%28+-128+%29=0\".
Removed extra sign in front of \"-128\"
It becomes \"4%2Aw-highlight_green%28+128+%29=0\".
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Look at \"highlight_red%28+4%2Aw-128+%29=0\".
Solved linear equation \"highlight_red%28+4%2Aw-128=0+%29\" equivalent to 4*w-128 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: w=32.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With \"w=32\" and \"w-32=0\". And \"P=2%2832%2B0%29=64\" which is a true statement. But the answer is not realistic.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: The width is 32 meters and the length is 0 meters to satisfy the problem statement. So you were on the right track but note your equations are also identical if you multiply one of them by 2.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J
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