document.write( "Question 68989: the length of a rectangle is 4m more than the width.The area is 30m squared. Find the width and length. \n" ); document.write( "
Algebra.Com's Answer #49105 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! the length of a rectangle is 4m more than the width.\r\n" ); document.write( "The area is 30m squared. Find the width and length.\r\n" ); document.write( "\r\n" ); document.write( "Let the width be x\r\n" ); document.write( "\r\n" ); document.write( ">>...the length...is 4m more than the width...<<\r\n" ); document.write( "\r\n" ); document.write( "So the width = x + 4\r\n" ); document.write( " ___________\r\n" ); document.write( "| x + 4 |\r\n" ); document.write( "| x| \r\n" ); document.write( "|___________|\r\n" ); document.write( " \r\n" ); document.write( " A = (length)(width)\r\n" ); document.write( " 30 = (x + 4)(x)\r\n" ); document.write( " x(x + 4) = 30\r\n" ); document.write( " xイ + 4x = 30\r\n" ); document.write( "xイ + 4x - 30 = 0\r\n" ); document.write( "\r\n" ); document.write( "That doesn't factor, so we use the quadratic formula:\r\n" ); document.write( "\r\n" ); document.write( " xイ - 6x + 4 = 0\r\n" ); document.write( "\r\n" ); document.write( "Use the quadratic formula:\r\n" ); document.write( " ______ \r\n" ); document.write( " -b ア ヨbイ-4ac\r\n" ); document.write( " x = 覧覧覧覧覧覧予r\n" ); document.write( " 2a \r\n" ); document.write( "\r\n" ); document.write( "where a = 1; b = 4; c = -30\r\n" ); document.write( "\r\n" ); document.write( " ______________ \r\n" ); document.write( " -(4) ア ヨ(4)イ-4(1)(-30)\r\n" ); document.write( " x = 覧覧覧覧覧覧覧覧覧覧覧覧\r\n" ); document.write( " 2(1) \r\n" ); document.write( " ______ \r\n" ); document.write( " -4 ア ヨ16+120\r\n" ); document.write( " x = 覧覧覧覧覧覧覧\r\n" ); document.write( " 2\r\n" ); document.write( "\r\n" ); document.write( " ___ \r\n" ); document.write( " -4 ア ヨ136\r\n" ); document.write( " x = 覧覧覧覧覧予r\n" ); document.write( " 2\r\n" ); document.write( "\r\n" ); document.write( " ____ \r\n" ); document.write( " -4 ア ヨ4キ34\r\n" ); document.write( " x = 覧覧覧覧覧覧\r\n" ); document.write( " 2 \r\n" ); document.write( "\r\n" ); document.write( " __\r\n" ); document.write( " -4 ア 2ヨ34\r\n" ); document.write( " x = 覧覧覧覧覧予r\n" ); document.write( " 2\r\n" ); document.write( "\r\n" ); document.write( " __\r\n" ); document.write( " -4 2ヨ34\r\n" ); document.write( " x = 覧覧 ア 覧覧覧\r\n" ); document.write( " 2 2\r\n" ); document.write( " __\r\n" ); document.write( " x = -2 ア ヨ34 \r\n" ); document.write( " __\r\n" ); document.write( "Using the +, x = -2 + ヨ34, which\r\n" ); document.write( "is one solution and equals about 3.830951895\r\n" ); document.write( " __ \r\n" ); document.write( "Using the -, x = -2 - ヨ34, which\r\n" ); document.write( "is the other solution and equals about\r\n" ); document.write( "-7.830951895.\r\n" ); document.write( "However we discard this since a rectangle's sides \r\n" ); document.write( "aren't negative!\r\n" ); document.write( "\r\n" ); document.write( "So width = x = 3.830951895, and length = x + 4 =\r\n" ); document.write( "3.830951895 + 4 = 7.830951895\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |