document.write( "Question 227731: The perimeter of a rectangle is 70 m. The length is 8 meters more than twice the width. Find the length and width.
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Algebra.Com's Answer #169215 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
The perimeter of a rectangle is 70 m. The length is 8 meters more than twice the width. Find the length and width. \r
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\n" ); document.write( "\n" ); document.write( "Step 1. The perimeter P means adding up all the four 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 2w+8 be the length since the length is 8 meters more than twice the width\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Then, P=w+w+2w+8+2w+8=70.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. 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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  • This is an equation! Solutions: w=9.
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  • Graphical form: Equation \"w%2Bw%2B2w%2B8%2B2w%2B8=70\" was fully solved.
  • Text form: w+w+2w+8+2w+8=70 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+w%2Bw%2B2w%2B8%2B2w%2B8=70+%29\"
    For tutors: simplify_cartoon( w+w+2w+8+2w+8=70 )
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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 \"w%2Bw%2B2%2Aw%2Bhighlight_red%28+8+%29%2B2%2Aw%2Bhighlight_red%28+8+%29=70\".
Added fractions or integers together
It becomes \"w%2Bw%2B2%2Aw%2Bhighlight_green%28+16+%29%2B2%2Aw=70\".
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Look at \"w%2Bw%2B2%2Aw%2Bhighlight_red%28+16+%29%2B2%2Aw=70\".
Moved \"16\" to the right of expression
It becomes \"w%2Bw%2B2%2Aw%2B2%2Aw%2Bhighlight_green%28+16+%29=70\".
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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%2B16=70\".
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Look at .
Added fractions or integers together
It becomes \"%28highlight_green%28+6+%29%29%2Aw%2B16=70\".
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Look at \"highlight_red%28+%28highlight_red%28+6+%29%29%2Aw+%29%2B16=70\".
Remove unneeded parentheses around factor \"highlight_red%28+6+%29\"
It becomes \"highlight_green%28+6+%29%2Aw%2B16=70\".
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Look at \"6%2Aw%2B16=highlight_red%28+70+%29\".
Moved these terms to the left \"highlight_green%28+-70+%29\"
It becomes \"6%2Aw%2B16-highlight_green%28+70+%29=0\".
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Look at \"6%2Aw%2Bhighlight_red%28+16+%29-highlight_red%28+70+%29=0\".
Added fractions or integers together
It becomes \"6%2Aw%2Bhighlight_green%28+-54+%29=0\".
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Look at \"6%2Aw%2Bhighlight_red%28+-54+%29=0\".
Removed extra sign in front of \"-54\"
It becomes \"6%2Aw-highlight_green%28+54+%29=0\".
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Look at \"highlight_red%28+6%2Aw-54+%29=0\".
Solved linear equation \"highlight_red%28+6%2Aw-54=0+%29\" equivalent to 6*w-54 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: w=9.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "For w=9 , then 2w+8=26 and P=2(9+26)=70 which is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: The width is 9 meters and length is 26 meters.\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 on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J
\n" ); document.write( "http://www.FreedomUniversity.TV
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