document.write( "Question 744333: A train ticket has an area of 192 square centimeter and a perimeter of 56 centimeters. What are the dimensions of the tickets. \n" ); document.write( "
Algebra.Com's Answer #453266 by josmiceli(19441)\"\" \"About 
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\"+L+\" = length in cm
\n" ); document.write( "\"+W+\" = width in cm
\n" ); document.write( "\"+A+\" = area in cm2
\n" ); document.write( "\"+P+\" = perimeter in cm
\n" ); document.write( "----------------
\n" ); document.write( "(1) \"+A+=+L%2AW+\"
\n" ); document.write( "(2) \"+P+=+2L+%2B+2W+\"
\n" ); document.write( "---------------
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+192+=+L%2AW+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+56+=+2L+%2B+2W+\"
\n" ); document.write( "(2) \"+L+%2B+W+=+28+\"
\n" ); document.write( "(2) \"+W+=+28+-+L+\"
\n" ); document.write( "By substitution:
\n" ); document.write( "(1) \"+192+=+L%2A%28+28+-+L+%29+\"
\n" ); document.write( "(1) \"+L%5E2+-+28L+%2B+192+=+0+\"
\n" ); document.write( "\"+L+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+-28+\"
\n" ); document.write( "\"+c+=+192+\"
\n" ); document.write( "\"+L+=+%28-%28-28%29+%2B-+sqrt%28+%28-28%29%5E2+-+4%2A1%2A192+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+L+=+%28+28+%2B-+sqrt%28+784+-+768+%29+%29+%2F+2+\"
\n" ); document.write( "\"+L+=+%28+28+%2B-+sqrt%28+16+%29+%29+%2F+2+\"
\n" ); document.write( "\"+L+=+%28+28+-+4+%29+%2F+2+\"
\n" ); document.write( "\"+L+=+12+\"
\n" ); document.write( "and, also
\n" ); document.write( "\"+L+=+%28+28+%2B+4+%29+%2F+2+\"
\n" ); document.write( "\"+L+=+16+\"
\n" ); document.write( "-----------
\n" ); document.write( "If I pick the larger answer, then
\n" ); document.write( "(2) \"+W+=+28+-+L+\"
\n" ); document.write( "(2) \"+W+=+28+-+16+\"
\n" ); document.write( "(2) \"+W+=+12+\"
\n" ); document.write( "---------------
\n" ); document.write( "These are the answers, because if I picked \"+L+=+12+\",
\n" ); document.write( "then I would get \"+W+=+16+\" for the width
\n" ); document.write( "----------
\n" ); document.write( "The length is 16 cm
\n" ); document.write( "The width is 12 cm\r
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