document.write( "Question 847873: The length of a rectangle is three times its width and the length of its diagonal is 6√10cm.Find the perimeter. \n" ); document.write( "
Algebra.Com's Answer #510720 by swincher4391(1107)\"\" \"About 
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Let the width be x. Then length is 3x.\r
\n" ); document.write( "\n" ); document.write( "Notice that when we take two sides with its diagonal we have a right triangle.\r
\n" ); document.write( "\n" ); document.write( "Apply pythagorean theorem.\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+%283x%29%5E2+=+%286%2Asqrt%2810%29%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+9x%5E2+=+360\"\r
\n" ); document.write( "\n" ); document.write( "\"10x%5E2+=+360\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+=+36\"\r
\n" ); document.write( "\n" ); document.write( "\"x=6\" <---width\r
\n" ); document.write( "\n" ); document.write( "Then our length is 18.\r
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\n" ); document.write( "\n" ); document.write( "P = 2L + 2W\r
\n" ); document.write( "\n" ); document.write( "P = 2(6) + 2(18) = \"highlight%2848%29\" cm
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