document.write( "Question 1170734: Cut a rope 45 ft long into three pieces so that the longest piece will be three times as long as each of the other two of equal lengths. Find the length of each piece. \n" ); document.write( "

Algebra.Com's Answer #795614 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "Cut a rope $\"45ft\"$ long into three pieces so that \r
\n" ); document.write( "\n" ); document.write( "the longest piece $\"x\"$ will be $\"three\"$ times as long as each of the other two $\"y\"$ and $\"z\"$ of equal lengths\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By%2Bz=45ft\"$ \r
\n" ); document.write( "\n" ); document.write( "given: $\"y=z\"$ and $\"x=3y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3y%2By%2By=45ft\"$
\n" ); document.write( " $\"5y=45ft\"$
\n" ); document.write( " $\"y=9ft\"$ \r
\n" ); document.write( "\n" ); document.write( "=> $\"z=9ft\"$
\n" ); document.write( "=> $\"x=3%2A9ft\"$ => $\"x=27ft\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " the length of each piece:
\n" ); document.write( "the longest piece is $\"27ft\"$ , and the other two $\"9ft\"$ each\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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