document.write( "Question 1154093: The perimeter of parallelogram ABCD is 96 cm. AD is 6 cm more than twice AB. Find the lengths of all four sides of ABCD. \n" ); document.write( "
Algebra.Com's Answer #776453 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "The perimeter of parallelogram \"ABCD+\"is \"96cm\". \r
\n" ); document.write( "\n" ); document.write( "\"AD\" is \"6cm\" more than \"twice\" \"AB\". \r
\n" ); document.write( "\n" ); document.write( "so, \"AD=2AB%2B6\".....eq.1\r
\n" ); document.write( "\n" ); document.write( "in parallelogram opposite sides are equal in length:\r
\n" ); document.write( "\n" ); document.write( "\"AB=CD\"
\n" ); document.write( "\"AD=BC\"=>\"BC=2AB%2B6\"\r
\n" ); document.write( "\n" ); document.write( "\"P=96cm\"\r
\n" ); document.write( "\n" ); document.write( "\"AB%2BCD%2BAD%2BBC=96\".....substitute \"AB=CD\",\"AD\" and \"BC\" from eq.1\r
\n" ); document.write( "\n" ); document.write( "\"AB%2BAB%2B2AB%2B6%2B2AB%2B6=96\"\r
\n" ); document.write( "\n" ); document.write( "\"6AB%2B12=96\"\r
\n" ); document.write( "\n" ); document.write( "\"6AB=96-12\"\r
\n" ); document.write( "\n" ); document.write( "\"6AB=84\"\r
\n" ); document.write( "\n" ); document.write( "\"AB=84%2F6\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28AB=14%29\" => also \"highlight%28CD=14%29\"\r
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\n" ); document.write( "\n" ); document.write( "go to eq.1\r
\n" ); document.write( "\n" ); document.write( "\"AD=2AB%2B6\".....eq.1, substitute \"AB\"\r
\n" ); document.write( "\n" ); document.write( "\"AD=2%2A14%2B6\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28AD=34%29\"=> also \"highlight%28BC=34%29\"\r
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\n" ); document.write( "\n" ); document.write( "check the perimeter:\r
\n" ); document.write( "\n" ); document.write( "\"AB%2BCD%2BAD%2BBC=96\"
\n" ); document.write( "\"14%2B14%2B34%2B34=96\"
\n" ); document.write( "\"96=96\"\r
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