document.write( "Question 215278This question is from textbook intermediate algebra
\n" ); document.write( ": suppose that the width of a rectangle is 3 centimeters less than two-thirds of its length. the perimeter of the rectangle is 114centimeters. find the length and width of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #162662 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
Suppose that the width of a rectangle is 3 centimeters less than two-thirds of its length. The perimeter of the rectangle is 114 centimeters. Find the length and width of the rectangle.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let \"x\" be the length and let \"2x%2F3-3\" be the width\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Perimeter P means adding up all four sides of a rectangle.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Then,\r
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\n" ); document.write( "\n" ); document.write( "\"x%2Bx%2B%282x%2F3-3%29%2B%282x%2F3-3%29=114\"\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: x=36.
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  • Graphical form: Equation \"x%2Bx%2B%282x%2F3-3%29%2B%282x%2F3-3%29=114\" was fully solved.
  • Text form: x+x+(2x/3-3)+(2x/3-3)=114 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%2Bx%2B%282x%2F3-3%29%2B%282x%2F3-3%29=114+%29\"
    For tutors: simplify_cartoon( x+x+(2x/3-3)+(2x/3-3)=114 )
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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 \"x%2Bx%2Bhighlight_red%28+%282%2Ax%2F3-3%29+%29%2B%282%2Ax%2F3-3%29=114\".
Remove unneeded parentheses around terms \"highlight_red%28+2%2Ax%2F3+%29\",\"highlight_red%28+-3+%29\"
It becomes \"x%2Bx%2Bhighlight_green%28+2%2Ax%2F3+%29-highlight_green%28+3+%29%2B%282%2Ax%2F3-3%29=114\".
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Look at \"x%2Bx%2B2%2Ax%2F3-3%2Bhighlight_red%28+%282%2Ax%2F3-3%29+%29=114\".
Remove unneeded parentheses around terms \"highlight_red%28+2%2Ax%2F3+%29\",\"highlight_red%28+-3+%29\"
It becomes \"x%2Bx%2B2%2Ax%2F3-3%2Bhighlight_green%28+2%2Ax%2F3+%29-highlight_green%28+3+%29=114\".
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Look at \"x%2Bx%2B2%2Ax%2F3-highlight_red%28+3+%29%2B2%2Ax%2F3-highlight_red%28+3+%29=114\".
Added fractions or integers together
It becomes \"x%2Bx%2B2%2Ax%2F3%2Bhighlight_green%28+-6+%29%2B2%2Ax%2F3=114\".
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Look at \"x%2Bx%2B2%2Ax%2F3%2Bhighlight_red%28+-6+%29%2B2%2Ax%2F3=114\".
Moved \"-6\" to the right of expression
It becomes \"x%2Bx%2B2%2Ax%2F3%2B2%2Ax%2F3%2Bhighlight_green%28+-6+%29=114\".
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Look at \"x%2Bx%2B2%2Ax%2F3%2B2%2Ax%2F3%2Bhighlight_red%28+-6+%29=114\".
Removed extra sign in front of \"-6\"
It becomes \"x%2Bx%2B2%2Ax%2F3%2B2%2Ax%2F3-highlight_green%28+6+%29=114\".
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Look at .
Eliminated similar terms \"highlight_red%28+x+%29\",\"highlight_red%28+x+%29\",\"highlight_red%28+2%2Ax%2F3+%29\",\"highlight_red%28+2%2Ax%2F3+%29\" replacing them with \"highlight_green%28+%281%2B1%2B2%2A1%2F3%2B2%2A1%2F3%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2B1%2B2%2A1%2F3%2B2%2A1%2F3%29%2Ax+%29-6=114\".
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Look at \"%281%2B1%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2F3%2B2%2A1%2F3%29%2Ax-6=114\".
Multiplied numerator integers
It becomes \"%281%2B1%2Bhighlight_green%28+2+%29%2F3%2B2%2A1%2F3%29%2Ax-6=114\".
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Look at \"%281%2B1%2B2%2F3%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2F3%29%2Ax-6=114\".
Multiplied numerator integers
It becomes \"%281%2B1%2B2%2F3%2Bhighlight_green%28+2+%29%2F3%29%2Ax-6=114\".
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Look at .
Added fractions or integers together
It becomes \"%28highlight_green%28+10%2F3+%29%29%2Ax-6=114\".
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Look at \"highlight_red%28+%28highlight_red%28+10%2F3+%29%29%2Ax+%29-6=114\".
Remove unneeded parentheses around factor \"highlight_red%28+10+%29\",\"highlight_red%28+1%2F3+%29\"
It becomes \"highlight_green%28+10+%29%2Fhighlight_green%28+3+%29%2Ax-6=114\".
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Look at \"10%2F3%2Ax-6=highlight_red%28+114+%29\".
Moved these terms to the left \"highlight_green%28+-114+%29\"
It becomes \"10%2F3%2Ax-6-highlight_green%28+114+%29=0\".
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Look at \"10%2F3%2Ax-highlight_red%28+6+%29-highlight_red%28+114+%29=0\".
Added fractions or integers together
It becomes \"10%2F3%2Ax%2Bhighlight_green%28+-120+%29=0\".
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Look at \"10%2F3%2Ax%2Bhighlight_red%28+-120+%29=0\".
Removed extra sign in front of \"-120\"
It becomes \"10%2F3%2Ax-highlight_green%28+120+%29=0\".
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Look at \"highlight_red%28+10%2F3%2Ax-120+%29=0\".
Solved linear equation \"highlight_red%28+10%2F3%2Ax-120=0+%29\" equivalent to 3.33333333333333*x-120 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=36.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With \"x=36\" , then \"2x%2F3-3=2%2A36%2F3-3=24-3=21\" is \r
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\n" ); document.write( "\n" ); document.write( "Step 4. The length is 36 cm and width is 21 cm\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 \n" ); document.write( "
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