document.write( "Question 946810: In the figure, rectangle ABCD is rotated 270° counterclockwise around point D to form rectangle EFGD. The perimeter of rectangle ABCD is 30 cm.\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "How long is segment EC?\r
\n" ); document.write( "\n" ); document.write( " _____cm\r
\n" ); document.write( "\n" ); document.write( "http://static.k12.com/calms_media/media/1572500_1573000/1572843/1/f02a772beb034a580c602cf7e19f5f0e9fe7baff/MS_IMC-141215-110508.jpg
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #577611 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "if rectangle \"ABCD\" is rotated \"270\"° counterclockwise around point \"D\" to form rectangle \"EFGD\", dimensions of the \"ABCD\" and \"EFGD\"\r
\n" ); document.write( "\n" ); document.write( "given \"EF=9cm\"
\n" ); document.write( "the length of \"AB\" and \"DC\" equal to \"EF\",so,
\n" ); document.write( "\"AB=DC=9cm\" \r
\n" ); document.write( "\n" ); document.write( "if the perimeter of rectangle \"ABCD\" is \"30cm\", then\r
\n" ); document.write( "\n" ); document.write( "\"2AB%2B2BC=30cm\"\r
\n" ); document.write( "\n" ); document.write( "\"AB%2BBC=15cm\"\r
\n" ); document.write( "\n" ); document.write( "\"9cm%2BBC=15cm\"\r
\n" ); document.write( "\n" ); document.write( "\"BC=15cm-9cm\"\r
\n" ); document.write( "\n" ); document.write( "\"BC=6cm\" => since \"BC\" equal to \"ED\" and \"FG\",we have\r
\n" ); document.write( "\n" ); document.write( "\"ED=6cm\" and \"FG=6cm\"\r
\n" ); document.write( "\n" ); document.write( "since segment \"EC=ED%2BDC\" and since \"DC=9cm\" and \"ED=6cm\", we have\r
\n" ); document.write( "\n" ); document.write( " \"EC=6cm%2B9cm\"\r
\n" ); document.write( "\n" ); document.write( "\"EC=15cm\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );