document.write( "Question 313116: the perimeter of a rectangle is 80 m. the length is 1 m more than twice the width. find the dimensions. what is the length? what is the width? \n" ); document.write( "

Algebra.Com's Answer #223883 by ichudov(507) $\"\"$ $\"About$

You can put this solution on YOUR website!
two sides are L and W. \r
\n" ); document.write( "\n" ); document.write( "perimeter is 2L+2W = 80.
\n" ); document.write( "L=1+2W\r
\n" ); document.write( "\n" ); document.write( "2(1+2W)+2W=80
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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=13.
Graphical form: Equation $\"2%2A%281%2B2W%29%2B2W=80\"$ was fully solved.
Text form: 2*(1+2W)+2W=80 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+2%2A%281%2B2W%29%2B2W=80+%29\"$
For tutors: simplify_cartoon( 2*(1+2W)+2W=80 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"2%2A%28highlight_red%28+1+%29%2B2%2AW%29%2B2%2AW=80\"$ .
Moved $\"1\"$ to the right of expression
It becomes $\"2%2A%282%2AW%2Bhighlight_green%28+1+%29%29%2B2%2AW=80\"$ .
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Look at $\"2%2A%282%2AW%2B1%29%2B2%2AW=highlight_red%28+80+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-80+%29\"$
It becomes $\"2%2A%282%2AW%2B1%29%2B2%2AW-highlight_green%28+80+%29=0\"$ .
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Look at $\"highlight_red%28+2%2A%282%2AW%2B1%29+%29%2B2%2AW-80=0\"$ .
Expanded term $\"2\"$ by using associative property on $\"%282%2AW%2B1%29\"$
It becomes $\"highlight_green%28+2%2A2%2AW+%29%2Bhighlight_green%28+2%2A1+%29%2B2%2AW-80=0\"$ .
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Look at $\"highlight_red%28+2+%29%2Ahighlight_red%28+2+%29%2AW%2B2%2A1%2B2%2AW-80=0\"$ .
Multiplied numerator integers
It becomes $\"highlight_green%28+4+%29%2AW%2B2%2A1%2B2%2AW-80=0\"$ .
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Look at $\"4%2AW%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2B2%2AW-80=0\"$ .
Multiplied numerator integers
It becomes $\"4%2AW%2Bhighlight_green%28+2+%29%2B2%2AW-80=0\"$ .
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Look at $\"4%2AW%2Bhighlight_red%28+2+%29%2B2%2AW-highlight_red%28+80+%29=0\"$ .
Added fractions or integers together
It becomes $\"4%2AW%2Bhighlight_green%28+-78+%29%2B2%2AW=0\"$ .
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Look at $\"4%2AW%2Bhighlight_red%28+-78+%29%2B2%2AW=0\"$ .
Moved $\"-78\"$ to the right of expression
It becomes $\"4%2AW%2B2%2AW%2Bhighlight_green%28+-78+%29=0\"$ .
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Look at $\"4%2AW%2B2%2AW%2Bhighlight_red%28+-78+%29=0\"$ .
Removed extra sign in front of $\"-78\"$
It becomes $\"4%2AW%2B2%2AW-highlight_green%28+78+%29=0\"$ .
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Look at $\"highlight_red%28+4%2AW+%29%2Bhighlight_red%28+2%2AW+%29-78=0\"$ .
Eliminated similar terms $\"highlight_red%28+4%2AW+%29\"$ , $\"highlight_red%28+2%2AW+%29\"$ replacing them with $\"highlight_green%28+%284%2B2%29%2AW+%29\"$
It becomes $\"highlight_green%28+%284%2B2%29%2AW+%29-78=0\"$ .
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Look at $\"%28highlight_red%28+4+%29%2Bhighlight_red%28+2+%29%29%2AW-78=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+6+%29%29%2AW-78=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+6+%29%29%2AW+%29-78=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"highlight_green%28+6+%29%2AW-78=0\"$ .
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Look at $\"highlight_red%28+6%2AW-78+%29=0\"$ .
Solved linear equation $\"highlight_red%28+6%2AW-78=0+%29\"$ equivalent to 6*W-78 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: W=13.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "W=13
\n" ); document.write( "L=1+2W=1+2*13=27 \n" ); document.write( "

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