document.write( "Question 225311: The perimeter of the following triangle is 35 meters. Find the length of each side. x meters, (2x+1) meters, (3x-2) meters \n" ); document.write( "

Algebra.Com's Answer #168139 by LtAurora(115) $\"\"$ $\"About$

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Perimeter is the sum of all the sides, so from the given information, we can set up the following equation:
\n" ); document.write( " $\"x%2B%282x%2B1%29%2B%283x-2%29=35\"$
\n" ); document.write( "We can remove the parentheses and combine like terms:
\n" ); document.write( " $\"6x-1=35\"$
\n" ); document.write( "Next, move the -1 over by adding it to both sides:
\n" ); document.write( " $\"6x=36\"$
\n" ); document.write( "Divide both sides by 6:
\n" ); document.write( " $\"x=6\"$
\n" ); document.write( "So, that is the length of one side. We have to plug x back into the length equations given for the other 2 sides to solve for them:
\n" ); document.write( " $\"2%2A6%2B1=13\"$
\n" ); document.write( " $\"3%2A6-2=16\"$
\n" ); document.write( "So, our answers are: 6, 13, 16.
\n" ); document.write( "...which when summed give us 35. \n" ); document.write( "

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